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Finding the Third Proportional to 32,536 and 66,488

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Solution

The third proportional to 32,536 and 66,488 is: 135,869.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,536 : 66,488 = 66,488 : x
  2. Step 2: Convert to fraction form
    32,536/66,488 = 66,488/x
  3. Step 3: Cross multiply
    32,536x = 66,488 × 66,488
  4. Step 4: Simplify right side
    32,536x = 4,420,654,144
  5. Step 5: Solve for x
    x = 4,420,654,144/32,536
  6. Step 6: Final answer
    x = 135,869.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.