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Finding the Third Proportional to 31,416 and 66,468

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Solution

The third proportional to 31,416 and 66,468 is: 140,628.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416 : 66,468 = 66,468 : x
  2. Step 2: Convert to fraction form
    31,416/66,468 = 66,468/x
  3. Step 3: Cross multiply
    31,416x = 66,468 × 66,468
  4. Step 4: Simplify right side
    31,416x = 4,417,995,024
  5. Step 5: Solve for x
    x = 4,417,995,024/31,416
  6. Step 6: Final answer
    x = 140,628.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.