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Finding the Third Proportional to 5,248.13 and 14,259.38

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Solution

The third proportional to 5,248.13 and 14,259.38 is: 38,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,248.13 : 14,259.38 = 14,259.38 : x
  2. Step 2: Convert to fraction form
    5,248.13/14,259.38 = 14,259.38/x
  3. Step 3: Cross multiply
    5,248.13x = 14,259.38 × 14,259.38
  4. Step 4: Simplify right side
    5,248.13x = 203,329,775.39
  5. Step 5: Solve for x
    x = 203,329,775.39/5,248.13
  6. Step 6: Final answer
    x = 38,743.32

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.