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Finding the Third Proportional to 16,864.13 and 36,643.88

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Solution

The third proportional to 16,864.13 and 36,643.88 is: 79,623.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864.13 : 36,643.88 = 36,643.88 : x
  2. Step 2: Convert to fraction form
    16,864.13/36,643.88 = 36,643.88/x
  3. Step 3: Cross multiply
    16,864.13x = 36,643.88 × 36,643.88
  4. Step 4: Simplify right side
    16,864.13x = 1,342,773,575.02
  5. Step 5: Solve for x
    x = 1,342,773,575.02/16,864.13
  6. Step 6: Final answer
    x = 79,623.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.