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Finding the Third Proportional to 45,238.88 and 66,541.13

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Solution

The third proportional to 45,238.88 and 66,541.13 is: 97,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,238.88 : 66,541.13 = 66,541.13 : x
  2. Step 2: Convert to fraction form
    45,238.88/66,541.13 = 66,541.13/x
  3. Step 3: Cross multiply
    45,238.88x = 66,541.13 × 66,541.13
  4. Step 4: Simplify right side
    45,238.88x = 4,427,721,316.27
  5. Step 5: Solve for x
    x = 4,427,721,316.27/45,238.88
  6. Step 6: Final answer
    x = 97,874.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.