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Finding the Third Proportional to 45,112 and 66,472

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Solution

The third proportional to 45,112 and 66,472 is: 97,945.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,112 : 66,472 = 66,472 : x
  2. Step 2: Convert to fraction form
    45,112/66,472 = 66,472/x
  3. Step 3: Cross multiply
    45,112x = 66,472 × 66,472
  4. Step 4: Simplify right side
    45,112x = 4,418,526,784
  5. Step 5: Solve for x
    x = 4,418,526,784/45,112
  6. Step 6: Final answer
    x = 97,945.71

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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.