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Finding the Third Proportional to 34,584 and 75,680

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Solution

The third proportional to 34,584 and 75,680 is: 165,610.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,584 : 75,680 = 75,680 : x
  2. Step 2: Convert to fraction form
    34,584/75,680 = 75,680/x
  3. Step 3: Cross multiply
    34,584x = 75,680 × 75,680
  4. Step 4: Simplify right side
    34,584x = 5,727,462,400
  5. Step 5: Solve for x
    x = 5,727,462,400/34,584
  6. Step 6: Final answer
    x = 165,610.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.