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Finding the Third Proportional to 34,532 and 54,597

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Solution

The third proportional to 34,532 and 54,597 is: 86,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,532 : 54,597 = 54,597 : x
  2. Step 2: Convert to fraction form
    34,532/54,597 = 54,597/x
  3. Step 3: Cross multiply
    34,532x = 54,597 × 54,597
  4. Step 4: Simplify right side
    34,532x = 2,980,832,409
  5. Step 5: Solve for x
    x = 2,980,832,409/34,532
  6. Step 6: Final answer
    x = 86,320.87

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.