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Finding the Third Proportional to 8,623 and 18,476.13

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Solution

The third proportional to 8,623 and 18,476.13 is: 39,587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,623 : 18,476.13 = 18,476.13 : x
  2. Step 2: Convert to fraction form
    8,623/18,476.13 = 18,476.13/x
  3. Step 3: Cross multiply
    8,623x = 18,476.13 × 18,476.13
  4. Step 4: Simplify right side
    8,623x = 341,367,195.02
  5. Step 5: Solve for x
    x = 341,367,195.02/8,623
  6. Step 6: Final answer
    x = 39,587.99

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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.