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Finding the Third Proportional to 6,595.17 and 10,228.78

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Solution

The third proportional to 6,595.17 and 10,228.78 is: 15,864.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,595.17 : 10,228.78 = 10,228.78 : x
  2. Step 2: Convert to fraction form
    6,595.17/10,228.78 = 10,228.78/x
  3. Step 3: Cross multiply
    6,595.17x = 10,228.78 × 10,228.78
  4. Step 4: Simplify right side
    6,595.17x = 104,627,965.86
  5. Step 5: Solve for x
    x = 104,627,965.86/6,595.17
  6. Step 6: Final answer
    x = 15,864.33

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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.