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Finding the Third Proportional to 34,624 and 75,658

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Solution

The third proportional to 34,624 and 75,658 is: 165,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,624 : 75,658 = 75,658 : x
  2. Step 2: Convert to fraction form
    34,624/75,658 = 75,658/x
  3. Step 3: Cross multiply
    34,624x = 75,658 × 75,658
  4. Step 4: Simplify right side
    34,624x = 5,724,132,964
  5. Step 5: Solve for x
    x = 5,724,132,964/34,624
  6. Step 6: Final answer
    x = 165,322.69

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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.