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Finding the Third Proportional to 10,657.69 and 16,719.19

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Solution

The third proportional to 10,657.69 and 16,719.19 is: 26,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,657.69 : 16,719.19 = 16,719.19 : x
  2. Step 2: Convert to fraction form
    10,657.69/16,719.19 = 16,719.19/x
  3. Step 3: Cross multiply
    10,657.69x = 16,719.19 × 16,719.19
  4. Step 4: Simplify right side
    10,657.69x = 279,531,230.66
  5. Step 5: Solve for x
    x = 279,531,230.66/10,657.69
  6. Step 6: Final answer
    x = 26,228.13

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.