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Finding the Third Proportional to 1,113.12 and 2,402.79

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Solution

The third proportional to 1,113.12 and 2,402.79 is: 5,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.12 : 2,402.79 = 2,402.79 : x
  2. Step 2: Convert to fraction form
    1,113.12/2,402.79 = 2,402.79/x
  3. Step 3: Cross multiply
    1,113.12x = 2,402.79 × 2,402.79
  4. Step 4: Simplify right side
    1,113.12x = 5,773,395.28
  5. Step 5: Solve for x
    x = 5,773,395.28/1,113.12
  6. Step 6: Final answer
    x = 5,186.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.