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Finding the Third Proportional to 32,889 and 72,482

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Solution

The third proportional to 32,889 and 72,482 is: 159,738.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,889 : 72,482 = 72,482 : x
  2. Step 2: Convert to fraction form
    32,889/72,482 = 72,482/x
  3. Step 3: Cross multiply
    32,889x = 72,482 × 72,482
  4. Step 4: Simplify right side
    32,889x = 5,253,640,324
  5. Step 5: Solve for x
    x = 5,253,640,324/32,889
  6. Step 6: Final answer
    x = 159,738.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.