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Finding the Third Proportional to 3,660.19 and 5,368.78

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Solution

The third proportional to 3,660.19 and 5,368.78 is: 7,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.19 : 5,368.78 = 5,368.78 : x
  2. Step 2: Convert to fraction form
    3,660.19/5,368.78 = 5,368.78/x
  3. Step 3: Cross multiply
    3,660.19x = 5,368.78 × 5,368.78
  4. Step 4: Simplify right side
    3,660.19x = 28,823,812.11
  5. Step 5: Solve for x
    x = 28,823,812.11/3,660.19
  6. Step 6: Final answer
    x = 7,874.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.