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Finding the Third Proportional to 29,570 and 39,966

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Solution

The third proportional to 29,570 and 39,966 is: 54,016.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,570 : 39,966 = 39,966 : x
  2. Step 2: Convert to fraction form
    29,570/39,966 = 39,966/x
  3. Step 3: Cross multiply
    29,570x = 39,966 × 39,966
  4. Step 4: Simplify right side
    29,570x = 1,597,281,156
  5. Step 5: Solve for x
    x = 1,597,281,156/29,570
  6. Step 6: Final answer
    x = 54,016.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.