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Finding the Third Proportional to 5,891.25 and 9,110.25

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Solution

The third proportional to 5,891.25 and 9,110.25 is: 14,088.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.25 : 9,110.25 = 9,110.25 : x
  2. Step 2: Convert to fraction form
    5,891.25/9,110.25 = 9,110.25/x
  3. Step 3: Cross multiply
    5,891.25x = 9,110.25 × 9,110.25
  4. Step 4: Simplify right side
    5,891.25x = 82,996,655.06
  5. Step 5: Solve for x
    x = 82,996,655.06/5,891.25
  6. Step 6: Final answer
    x = 14,088.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.