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Finding the Third Proportional to 31,313 and 63,719

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Solution

The third proportional to 31,313 and 63,719 is: 129,662.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,313 : 63,719 = 63,719 : x
  2. Step 2: Convert to fraction form
    31,313/63,719 = 63,719/x
  3. Step 3: Cross multiply
    31,313x = 63,719 × 63,719
  4. Step 4: Simplify right side
    31,313x = 4,060,110,961
  5. Step 5: Solve for x
    x = 4,060,110,961/31,313
  6. Step 6: Final answer
    x = 129,662.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.