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Finding the Third Proportional to 10,024.70 and 14,672.55

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Solution

The third proportional to 10,024.70 and 14,672.55 is: 21,475.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.70 : 14,672.55 = 14,672.55 : x
  2. Step 2: Convert to fraction form
    10,024.70/14,672.55 = 14,672.55/x
  3. Step 3: Cross multiply
    10,024.70x = 14,672.55 × 14,672.55
  4. Step 4: Simplify right side
    10,024.70x = 215,283,689.11
  5. Step 5: Solve for x
    x = 215,283,689.11/10,024.70
  6. Step 6: Final answer
    x = 21,475.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.