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Finding the Third Proportional to 31,566 and 66,060

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Solution

The third proportional to 31,566 and 66,060 is: 138,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,566 : 66,060 = 66,060 : x
  2. Step 2: Convert to fraction form
    31,566/66,060 = 66,060/x
  3. Step 3: Cross multiply
    31,566x = 66,060 × 66,060
  4. Step 4: Simplify right side
    31,566x = 4,363,923,600
  5. Step 5: Solve for x
    x = 4,363,923,600/31,566
  6. Step 6: Final answer
    x = 138,247.60

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.