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Finding the Third Proportional to 1,864.13 and 3,966.19

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Solution

The third proportional to 1,864.13 and 3,966.19 is: 8,438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.13 : 3,966.19 = 3,966.19 : x
  2. Step 2: Convert to fraction form
    1,864.13/3,966.19 = 3,966.19/x
  3. Step 3: Cross multiply
    1,864.13x = 3,966.19 × 3,966.19
  4. Step 4: Simplify right side
    1,864.13x = 15,730,643.29
  5. Step 5: Solve for x
    x = 15,730,643.29/1,864.13
  6. Step 6: Final answer
    x = 8,438.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.