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Finding the Third Proportional to 1,130.76 and 2,454.92

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Solution

The third proportional to 1,130.76 and 2,454.92 is: 5,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,130.76 : 2,454.92 = 2,454.92 : x
  2. Step 2: Convert to fraction form
    1,130.76/2,454.92 = 2,454.92/x
  3. Step 3: Cross multiply
    1,130.76x = 2,454.92 × 2,454.92
  4. Step 4: Simplify right side
    1,130.76x = 6,026,617.44
  5. Step 5: Solve for x
    x = 6,026,617.44/1,130.76
  6. Step 6: Final answer
    x = 5,329.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.