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Finding the Third Proportional to 1,282.71 and 2,403.11

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Solution

The third proportional to 1,282.71 and 2,403.11 is: 4,502.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.71 : 2,403.11 = 2,403.11 : x
  2. Step 2: Convert to fraction form
    1,282.71/2,403.11 = 2,403.11/x
  3. Step 3: Cross multiply
    1,282.71x = 2,403.11 × 2,403.11
  4. Step 4: Simplify right side
    1,282.71x = 5,774,915.89
  5. Step 5: Solve for x
    x = 5,774,915.89/1,282.71
  6. Step 6: Final answer
    x = 4,502.12

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.