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Finding the Third Proportional to 32,758 and 71,511

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Solution

The third proportional to 32,758 and 71,511 is: 156,109.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,758 : 71,511 = 71,511 : x
  2. Step 2: Convert to fraction form
    32,758/71,511 = 71,511/x
  3. Step 3: Cross multiply
    32,758x = 71,511 × 71,511
  4. Step 4: Simplify right side
    32,758x = 5,113,823,121
  5. Step 5: Solve for x
    x = 5,113,823,121/32,758
  6. Step 6: Final answer
    x = 156,109.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.