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Finding the Third Proportional to 6,574.92 and 8,654.34

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Solution

The third proportional to 6,574.92 and 8,654.34 is: 11,391.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.92 : 8,654.34 = 8,654.34 : x
  2. Step 2: Convert to fraction form
    6,574.92/8,654.34 = 8,654.34/x
  3. Step 3: Cross multiply
    6,574.92x = 8,654.34 × 8,654.34
  4. Step 4: Simplify right side
    6,574.92x = 74,897,665.74
  5. Step 5: Solve for x
    x = 74,897,665.74/6,574.92
  6. Step 6: Final answer
    x = 11,391.42

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.