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Finding the Third Proportional to 4,788.70 and 7,432.17

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Solution

The third proportional to 4,788.70 and 7,432.17 is: 11,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.70 : 7,432.17 = 7,432.17 : x
  2. Step 2: Convert to fraction form
    4,788.70/7,432.17 = 7,432.17/x
  3. Step 3: Cross multiply
    4,788.70x = 7,432.17 × 7,432.17
  4. Step 4: Simplify right side
    4,788.70x = 55,237,178.78
  5. Step 5: Solve for x
    x = 55,237,178.78/4,788.70
  6. Step 6: Final answer
    x = 11,534.89

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.