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Finding the Third Proportional to 8,934.75 and 13,686.75

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Solution

The third proportional to 8,934.75 and 13,686.75 is: 20,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.75 : 13,686.75 = 13,686.75 : x
  2. Step 2: Convert to fraction form
    8,934.75/13,686.75 = 13,686.75/x
  3. Step 3: Cross multiply
    8,934.75x = 13,686.75 × 13,686.75
  4. Step 4: Simplify right side
    8,934.75x = 187,327,125.56
  5. Step 5: Solve for x
    x = 187,327,125.56/8,934.75
  6. Step 6: Final answer
    x = 20,966.13

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.