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Finding the Third Proportional to 8,619.75 and 14,293.13

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Solution

The third proportional to 8,619.75 and 14,293.13 is: 23,700.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,619.75 : 14,293.13 = 14,293.13 : x
  2. Step 2: Convert to fraction form
    8,619.75/14,293.13 = 14,293.13/x
  3. Step 3: Cross multiply
    8,619.75x = 14,293.13 × 14,293.13
  4. Step 4: Simplify right side
    8,619.75x = 204,293,422.27
  5. Step 5: Solve for x
    x = 204,293,422.27/8,619.75
  6. Step 6: Final answer
    x = 23,700.62

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.