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Finding the Third Proportional to 14,748.75 and 22,074.75

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Solution

The third proportional to 14,748.75 and 22,074.75 is: 33,039.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,748.75 : 22,074.75 = 22,074.75 : x
  2. Step 2: Convert to fraction form
    14,748.75/22,074.75 = 22,074.75/x
  3. Step 3: Cross multiply
    14,748.75x = 22,074.75 × 22,074.75
  4. Step 4: Simplify right side
    14,748.75x = 487,294,587.56
  5. Step 5: Solve for x
    x = 487,294,587.56/14,748.75
  6. Step 6: Final answer
    x = 33,039.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.