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Finding the Third Proportional to 5,580.98 and 11,547.14

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Solution

The third proportional to 5,580.98 and 11,547.14 is: 23,891.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.98 : 11,547.14 = 11,547.14 : x
  2. Step 2: Convert to fraction form
    5,580.98/11,547.14 = 11,547.14/x
  3. Step 3: Cross multiply
    5,580.98x = 11,547.14 × 11,547.14
  4. Step 4: Simplify right side
    5,580.98x = 133,336,456.61
  5. Step 5: Solve for x
    x = 133,336,456.61/5,580.98
  6. Step 6: Final answer
    x = 23,891.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.