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Finding the Third Proportional to 8,693.10 and 18,616.24

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Solution

The third proportional to 8,693.10 and 18,616.24 is: 39,866.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,693.10 : 18,616.24 = 18,616.24 : x
  2. Step 2: Convert to fraction form
    8,693.10/18,616.24 = 18,616.24/x
  3. Step 3: Cross multiply
    8,693.10x = 18,616.24 × 18,616.24
  4. Step 4: Simplify right side
    8,693.10x = 346,564,255.02
  5. Step 5: Solve for x
    x = 346,564,255.02/8,693.10
  6. Step 6: Final answer
    x = 39,866.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.