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Finding the Third Proportional to 8,611.31 and 19,774.13

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Solution

The third proportional to 8,611.31 and 19,774.13 is: 45,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.31 : 19,774.13 = 19,774.13 : x
  2. Step 2: Convert to fraction form
    8,611.31/19,774.13 = 19,774.13/x
  3. Step 3: Cross multiply
    8,611.31x = 19,774.13 × 19,774.13
  4. Step 4: Simplify right side
    8,611.31x = 391,016,019.52
  5. Step 5: Solve for x
    x = 391,016,019.52/8,611.31
  6. Step 6: Final answer
    x = 45,407.25

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.