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Finding the Third Proportional to 5,658.75 and 8,456.63

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Solution

The third proportional to 5,658.75 and 8,456.63 is: 12,637.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.75 : 8,456.63 = 8,456.63 : x
  2. Step 2: Convert to fraction form
    5,658.75/8,456.63 = 8,456.63/x
  3. Step 3: Cross multiply
    5,658.75x = 8,456.63 × 8,456.63
  4. Step 4: Simplify right side
    5,658.75x = 71,514,506.39
  5. Step 5: Solve for x
    x = 71,514,506.39/5,658.75
  6. Step 6: Final answer
    x = 12,637.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.