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Finding the Third Proportional to 31,394 and 66,460

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Solution

The third proportional to 31,394 and 66,460 is: 140,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,394 : 66,460 = 66,460 : x
  2. Step 2: Convert to fraction form
    31,394/66,460 = 66,460/x
  3. Step 3: Cross multiply
    31,394x = 66,460 × 66,460
  4. Step 4: Simplify right side
    31,394x = 4,416,931,600
  5. Step 5: Solve for x
    x = 4,416,931,600/31,394
  6. Step 6: Final answer
    x = 140,693.50

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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.