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Finding the Third Proportional to 5,005.13 and 5,781.38

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Solution

The third proportional to 5,005.13 and 5,781.38 is: 6,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.13 : 5,781.38 = 5,781.38 : x
  2. Step 2: Convert to fraction form
    5,005.13/5,781.38 = 5,781.38/x
  3. Step 3: Cross multiply
    5,005.13x = 5,781.38 × 5,781.38
  4. Step 4: Simplify right side
    5,005.13x = 33,424,296.89
  5. Step 5: Solve for x
    x = 33,424,296.89/5,005.13
  6. Step 6: Final answer
    x = 6,678.01

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.