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Finding the Third Proportional to 8,595.65 and 13,677.29

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Solution

The third proportional to 8,595.65 and 13,677.29 is: 21,763.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,595.65 : 13,677.29 = 13,677.29 : x
  2. Step 2: Convert to fraction form
    8,595.65/13,677.29 = 13,677.29/x
  3. Step 3: Cross multiply
    8,595.65x = 13,677.29 × 13,677.29
  4. Step 4: Simplify right side
    8,595.65x = 187,068,342.95
  5. Step 5: Solve for x
    x = 187,068,342.95/8,595.65
  6. Step 6: Final answer
    x = 21,763.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.