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Finding the Third Proportional to 5,087.81 and 9,449.16

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Solution

The third proportional to 5,087.81 and 9,449.16 is: 17,549.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,087.81 : 9,449.16 = 9,449.16 : x
  2. Step 2: Convert to fraction form
    5,087.81/9,449.16 = 9,449.16/x
  3. Step 3: Cross multiply
    5,087.81x = 9,449.16 × 9,449.16
  4. Step 4: Simplify right side
    5,087.81x = 89,286,553.84
  5. Step 5: Solve for x
    x = 89,286,553.84/5,087.81
  6. Step 6: Final answer
    x = 17,549.10

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.