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Finding the Third Proportional to 12,340.69 and 16,870.78

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Solution

The third proportional to 12,340.69 and 16,870.78 is: 23,063.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.69 : 16,870.78 = 16,870.78 : x
  2. Step 2: Convert to fraction form
    12,340.69/16,870.78 = 16,870.78/x
  3. Step 3: Cross multiply
    12,340.69x = 16,870.78 × 16,870.78
  4. Step 4: Simplify right side
    12,340.69x = 284,623,259.99
  5. Step 5: Solve for x
    x = 284,623,259.99/12,340.69
  6. Step 6: Final answer
    x = 23,063.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.