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Finding the Third Proportional to 8,656.88 and 16,397.44

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Solution

The third proportional to 8,656.88 and 16,397.44 is: 31,059.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656.88 : 16,397.44 = 16,397.44 : x
  2. Step 2: Convert to fraction form
    8,656.88/16,397.44 = 16,397.44/x
  3. Step 3: Cross multiply
    8,656.88x = 16,397.44 × 16,397.44
  4. Step 4: Simplify right side
    8,656.88x = 268,875,956.57
  5. Step 5: Solve for x
    x = 268,875,956.57/8,656.88
  6. Step 6: Final answer
    x = 31,059.24

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Why These Related Problems?

These problems maintain the same ratio (1.89) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.