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Finding the Third Proportional to 45,291 and 66,550

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Solution

The third proportional to 45,291 and 66,550 is: 97,787.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,291 : 66,550 = 66,550 : x
  2. Step 2: Convert to fraction form
    45,291/66,550 = 66,550/x
  3. Step 3: Cross multiply
    45,291x = 66,550 × 66,550
  4. Step 4: Simplify right side
    45,291x = 4,428,902,500
  5. Step 5: Solve for x
    x = 4,428,902,500/45,291
  6. Step 6: Final answer
    x = 97,787.70

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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.