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Finding the Third Proportional to 5,747.63 and 9,124.31

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Solution

The third proportional to 5,747.63 and 9,124.31 is: 14,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.63 : 9,124.31 = 9,124.31 : x
  2. Step 2: Convert to fraction form
    5,747.63/9,124.31 = 9,124.31/x
  3. Step 3: Cross multiply
    5,747.63x = 9,124.31 × 9,124.31
  4. Step 4: Simplify right side
    5,747.63x = 83,253,078.60
  5. Step 5: Solve for x
    x = 83,253,078.60/5,747.63
  6. Step 6: Final answer
    x = 14,484.78

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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.