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Finding the Third Proportional to 5,097.38 and 7,017.19

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Solution

The third proportional to 5,097.38 and 7,017.19 is: 9,660.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.38 : 7,017.19 = 7,017.19 : x
  2. Step 2: Convert to fraction form
    5,097.38/7,017.19 = 7,017.19/x
  3. Step 3: Cross multiply
    5,097.38x = 7,017.19 × 7,017.19
  4. Step 4: Simplify right side
    5,097.38x = 49,240,920.41
  5. Step 5: Solve for x
    x = 49,240,920.41/5,097.38
  6. Step 6: Final answer
    x = 9,660.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.