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Finding the Third Proportional to 5,320.69 and 12,496.78

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Solution

The third proportional to 5,320.69 and 12,496.78 is: 29,351.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.69 : 12,496.78 = 12,496.78 : x
  2. Step 2: Convert to fraction form
    5,320.69/12,496.78 = 12,496.78/x
  3. Step 3: Cross multiply
    5,320.69x = 12,496.78 × 12,496.78
  4. Step 4: Simplify right side
    5,320.69x = 156,169,541.61
  5. Step 5: Solve for x
    x = 156,169,541.61/5,320.69
  6. Step 6: Final answer
    x = 29,351.38

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.