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Finding the Third Proportional to 6,486.19 and 10,063.69

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Solution

The third proportional to 6,486.19 and 10,063.69 is: 15,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.19 : 10,063.69 = 10,063.69 : x
  2. Step 2: Convert to fraction form
    6,486.19/10,063.69 = 10,063.69/x
  3. Step 3: Cross multiply
    6,486.19x = 10,063.69 × 10,063.69
  4. Step 4: Simplify right side
    6,486.19x = 101,277,806.10
  5. Step 5: Solve for x
    x = 101,277,806.10/6,486.19
  6. Step 6: Final answer
    x = 15,614.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.