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Finding the Third Proportional to 30,600.75 and 45,722.75

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Solution

The third proportional to 30,600.75 and 45,722.75 is: 68,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,600.75 : 45,722.75 = 45,722.75 : x
  2. Step 2: Convert to fraction form
    30,600.75/45,722.75 = 45,722.75/x
  3. Step 3: Cross multiply
    30,600.75x = 45,722.75 × 45,722.75
  4. Step 4: Simplify right side
    30,600.75x = 2,090,569,867.56
  5. Step 5: Solve for x
    x = 2,090,569,867.56/30,600.75
  6. Step 6: Final answer
    x = 68,317.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.