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Finding the Third Proportional to 5,734.69 and 9,123.19

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Solution

The third proportional to 5,734.69 and 9,123.19 is: 14,513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.69 : 9,123.19 = 9,123.19 : x
  2. Step 2: Convert to fraction form
    5,734.69/9,123.19 = 9,123.19/x
  3. Step 3: Cross multiply
    5,734.69x = 9,123.19 × 9,123.19
  4. Step 4: Simplify right side
    5,734.69x = 83,232,550.16
  5. Step 5: Solve for x
    x = 83,232,550.16/5,734.69
  6. Step 6: Final answer
    x = 14,513.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.