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Finding the Third Proportional to 34,746.75 and 72,432

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Solution

The third proportional to 34,746.75 and 72,432 is: 150,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,746.75 : 72,432 = 72,432 : x
  2. Step 2: Convert to fraction form
    34,746.75/72,432 = 72,432/x
  3. Step 3: Cross multiply
    34,746.75x = 72,432 × 72,432
  4. Step 4: Simplify right side
    34,746.75x = 5,246,394,624
  5. Step 5: Solve for x
    x = 5,246,394,624/34,746.75
  6. Step 6: Final answer
    x = 150,989.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.