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Finding the Third Proportional to 6,871.50 and 11,008.13

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Solution

The third proportional to 6,871.50 and 11,008.13 is: 17,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,871.50 : 11,008.13 = 11,008.13 : x
  2. Step 2: Convert to fraction form
    6,871.50/11,008.13 = 11,008.13/x
  3. Step 3: Cross multiply
    6,871.50x = 11,008.13 × 11,008.13
  4. Step 4: Simplify right side
    6,871.50x = 121,178,816.02
  5. Step 5: Solve for x
    x = 121,178,816.02/6,871.50
  6. Step 6: Final answer
    x = 17,634.99

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.