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Finding the Third Proportional to 1,242.25 and 1,681.13

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Solution

The third proportional to 1,242.25 and 1,681.13 is: 2,275.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.25 : 1,681.13 = 1,681.13 : x
  2. Step 2: Convert to fraction form
    1,242.25/1,681.13 = 1,681.13/x
  3. Step 3: Cross multiply
    1,242.25x = 1,681.13 × 1,681.13
  4. Step 4: Simplify right side
    1,242.25x = 2,826,181.27
  5. Step 5: Solve for x
    x = 2,826,181.27/1,242.25
  6. Step 6: Final answer
    x = 2,275.05

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.