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Finding the Third Proportional to 2,502.28 and 5,792.11

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Solution

The third proportional to 2,502.28 and 5,792.11 is: 13,407.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.28 : 5,792.11 = 5,792.11 : x
  2. Step 2: Convert to fraction form
    2,502.28/5,792.11 = 5,792.11/x
  3. Step 3: Cross multiply
    2,502.28x = 5,792.11 × 5,792.11
  4. Step 4: Simplify right side
    2,502.28x = 33,548,531.01
  5. Step 5: Solve for x
    x = 33,548,531.01/2,502.28
  6. Step 6: Final answer
    x = 13,407.18

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.