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Finding the Third Proportional to 31,466 and 61,335

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Solution

The third proportional to 31,466 and 61,335 is: 119,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,466 : 61,335 = 61,335 : x
  2. Step 2: Convert to fraction form
    31,466/61,335 = 61,335/x
  3. Step 3: Cross multiply
    31,466x = 61,335 × 61,335
  4. Step 4: Simplify right side
    31,466x = 3,761,982,225
  5. Step 5: Solve for x
    x = 3,761,982,225/31,466
  6. Step 6: Final answer
    x = 119,557.05

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.