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Finding the Third Proportional to 4,788.10 and 7,432.15

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Solution

The third proportional to 4,788.10 and 7,432.15 is: 11,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.10 : 7,432.15 = 7,432.15 : x
  2. Step 2: Convert to fraction form
    4,788.10/7,432.15 = 7,432.15/x
  3. Step 3: Cross multiply
    4,788.10x = 7,432.15 × 7,432.15
  4. Step 4: Simplify right side
    4,788.10x = 55,236,786.85
  5. Step 5: Solve for x
    x = 55,236,786.85/4,788.10
  6. Step 6: Final answer
    x = 11,536.27

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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.