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Finding the Third Proportional to 15,429 and 31,951

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Solution

The third proportional to 15,429 and 31,951 is: 66,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,429 : 31,951 = 31,951 : x
  2. Step 2: Convert to fraction form
    15,429/31,951 = 31,951/x
  3. Step 3: Cross multiply
    15,429x = 31,951 × 31,951
  4. Step 4: Simplify right side
    15,429x = 1,020,866,401
  5. Step 5: Solve for x
    x = 1,020,866,401/15,429
  6. Step 6: Final answer
    x = 66,165.43

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.