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Finding the Third Proportional to 32,414 and 48,654

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Solution

The third proportional to 32,414 and 48,654 is: 73,030.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,414 : 48,654 = 48,654 : x
  2. Step 2: Convert to fraction form
    32,414/48,654 = 48,654/x
  3. Step 3: Cross multiply
    32,414x = 48,654 × 48,654
  4. Step 4: Simplify right side
    32,414x = 2,367,211,716
  5. Step 5: Solve for x
    x = 2,367,211,716/32,414
  6. Step 6: Final answer
    x = 73,030.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.