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Finding the Third Proportional to 32,554.41 and 66,013.73

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Solution

The third proportional to 32,554.41 and 66,013.73 is: 133,862.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,554.41 : 66,013.73 = 66,013.73 : x
  2. Step 2: Convert to fraction form
    32,554.41/66,013.73 = 66,013.73/x
  3. Step 3: Cross multiply
    32,554.41x = 66,013.73 × 66,013.73
  4. Step 4: Simplify right side
    32,554.41x = 4,357,813,126.13
  5. Step 5: Solve for x
    x = 4,357,813,126.13/32,554.41
  6. Step 6: Final answer
    x = 133,862.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.