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Finding the Third Proportional to 8,667.69 and 12,385.75

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Solution

The third proportional to 8,667.69 and 12,385.75 is: 17,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.69 : 12,385.75 = 12,385.75 : x
  2. Step 2: Convert to fraction form
    8,667.69/12,385.75 = 12,385.75/x
  3. Step 3: Cross multiply
    8,667.69x = 12,385.75 × 12,385.75
  4. Step 4: Simplify right side
    8,667.69x = 153,406,803.06
  5. Step 5: Solve for x
    x = 153,406,803.06/8,667.69
  6. Step 6: Final answer
    x = 17,698.70

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.