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Finding the Third Proportional to 3,810.74 and 5,864.70

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Solution

The third proportional to 3,810.74 and 5,864.70 is: 9,025.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.74 : 5,864.70 = 5,864.70 : x
  2. Step 2: Convert to fraction form
    3,810.74/5,864.70 = 5,864.70/x
  3. Step 3: Cross multiply
    3,810.74x = 5,864.70 × 5,864.70
  4. Step 4: Simplify right side
    3,810.74x = 34,394,651.11
  5. Step 5: Solve for x
    x = 34,394,651.11/3,810.74
  6. Step 6: Final answer
    x = 9,025.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.