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Finding the Third Proportional to 32,853 and 74,478

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Solution

The third proportional to 32,853 and 74,478 is: 168,842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,853 : 74,478 = 74,478 : x
  2. Step 2: Convert to fraction form
    32,853/74,478 = 74,478/x
  3. Step 3: Cross multiply
    32,853x = 74,478 × 74,478
  4. Step 4: Simplify right side
    32,853x = 5,546,972,484
  5. Step 5: Solve for x
    x = 5,546,972,484/32,853
  6. Step 6: Final answer
    x = 168,842.19

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.