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Finding the Third Proportional to 32,548.71 and 66,002.98

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Solution

The third proportional to 32,548.71 and 66,002.98 is: 133,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,548.71 : 66,002.98 = 66,002.98 : x
  2. Step 2: Convert to fraction form
    32,548.71/66,002.98 = 66,002.98/x
  3. Step 3: Cross multiply
    32,548.71x = 66,002.98 × 66,002.98
  4. Step 4: Simplify right side
    32,548.71x = 4,356,392,915.11
  5. Step 5: Solve for x
    x = 4,356,392,915.11/32,548.71
  6. Step 6: Final answer
    x = 133,842.26

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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.