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Finding the Third Proportional to 5,663.81 and 8,125.88

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Solution

The third proportional to 5,663.81 and 8,125.88 is: 11,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,663.81 : 8,125.88 = 8,125.88 : x
  2. Step 2: Convert to fraction form
    5,663.81/8,125.88 = 8,125.88/x
  3. Step 3: Cross multiply
    5,663.81x = 8,125.88 × 8,125.88
  4. Step 4: Simplify right side
    5,663.81x = 66,029,844.52
  5. Step 5: Solve for x
    x = 66,029,844.52/5,663.81
  6. Step 6: Final answer
    x = 11,658.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.