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Finding the Third Proportional to 4,132.69 and 4,821.19

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Solution

The third proportional to 4,132.69 and 4,821.19 is: 5,624.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.69 : 4,821.19 = 4,821.19 : x
  2. Step 2: Convert to fraction form
    4,132.69/4,821.19 = 4,821.19/x
  3. Step 3: Cross multiply
    4,132.69x = 4,821.19 × 4,821.19
  4. Step 4: Simplify right side
    4,132.69x = 23,243,848.91
  5. Step 5: Solve for x
    x = 23,243,848.91/4,132.69
  6. Step 6: Final answer
    x = 5,624.39

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.