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Finding the Third Proportional to 7,867.13 and 11,527.31

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Solution

The third proportional to 7,867.13 and 11,527.31 is: 16,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,867.13 : 11,527.31 = 11,527.31 : x
  2. Step 2: Convert to fraction form
    7,867.13/11,527.31 = 11,527.31/x
  3. Step 3: Cross multiply
    7,867.13x = 11,527.31 × 11,527.31
  4. Step 4: Simplify right side
    7,867.13x = 132,878,933.47
  5. Step 5: Solve for x
    x = 132,878,933.47/7,867.13
  6. Step 6: Final answer
    x = 16,890.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.