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Finding the Third Proportional to 5,761.13 and 9,887.06

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Solution

The third proportional to 5,761.13 and 9,887.06 is: 16,967.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,761.13 : 9,887.06 = 9,887.06 : x
  2. Step 2: Convert to fraction form
    5,761.13/9,887.06 = 9,887.06/x
  3. Step 3: Cross multiply
    5,761.13x = 9,887.06 × 9,887.06
  4. Step 4: Simplify right side
    5,761.13x = 97,754,004.88
  5. Step 5: Solve for x
    x = 97,754,004.88/5,761.13
  6. Step 6: Final answer
    x = 16,967.87

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.