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Finding the Third Proportional to 1,287.14 and 2,502.14

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Solution

The third proportional to 1,287.14 and 2,502.14 is: 4,864.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.14 : 2,502.14 = 2,502.14 : x
  2. Step 2: Convert to fraction form
    1,287.14/2,502.14 = 2,502.14/x
  3. Step 3: Cross multiply
    1,287.14x = 2,502.14 × 2,502.14
  4. Step 4: Simplify right side
    1,287.14x = 6,260,707.71
  5. Step 5: Solve for x
    x = 6,260,707.71/1,287.14
  6. Step 6: Final answer
    x = 4,864.04

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.