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Finding the Third Proportional to 3,097.13 and 4,781.81

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Solution

The third proportional to 3,097.13 and 4,781.81 is: 7,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.13 : 4,781.81 = 4,781.81 : x
  2. Step 2: Convert to fraction form
    3,097.13/4,781.81 = 4,781.81/x
  3. Step 3: Cross multiply
    3,097.13x = 4,781.81 × 4,781.81
  4. Step 4: Simplify right side
    3,097.13x = 22,865,730.79
  5. Step 5: Solve for x
    x = 22,865,730.79/3,097.13
  6. Step 6: Final answer
    x = 7,382.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.