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Finding the Third Proportional to 32,352 and 65,892

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Solution

The third proportional to 32,352 and 65,892 is: 134,203.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,352 : 65,892 = 65,892 : x
  2. Step 2: Convert to fraction form
    32,352/65,892 = 65,892/x
  3. Step 3: Cross multiply
    32,352x = 65,892 × 65,892
  4. Step 4: Simplify right side
    32,352x = 4,341,755,664
  5. Step 5: Solve for x
    x = 4,341,755,664/32,352
  6. Step 6: Final answer
    x = 134,203.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.