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Finding the Third Proportional to 30,219.75 and 44,408.25

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Solution

The third proportional to 30,219.75 and 44,408.25 is: 65,258.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,219.75 : 44,408.25 = 44,408.25 : x
  2. Step 2: Convert to fraction form
    30,219.75/44,408.25 = 44,408.25/x
  3. Step 3: Cross multiply
    30,219.75x = 44,408.25 × 44,408.25
  4. Step 4: Simplify right side
    30,219.75x = 1,972,092,668.06
  5. Step 5: Solve for x
    x = 1,972,092,668.06/30,219.75
  6. Step 6: Final answer
    x = 65,258.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.