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Finding the Third Proportional to 7,869.66 and 17,008.31

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Solution

The third proportional to 7,869.66 and 17,008.31 is: 36,759.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,869.66 : 17,008.31 = 17,008.31 : x
  2. Step 2: Convert to fraction form
    7,869.66/17,008.31 = 17,008.31/x
  3. Step 3: Cross multiply
    7,869.66x = 17,008.31 × 17,008.31
  4. Step 4: Simplify right side
    7,869.66x = 289,282,694.10
  5. Step 5: Solve for x
    x = 289,282,694.10/7,869.66
  6. Step 6: Final answer
    x = 36,759.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.