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Finding the Third Proportional to 1,468.88 and 2,014.13

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Solution

The third proportional to 1,468.88 and 2,014.13 is: 2,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.88 : 2,014.13 = 2,014.13 : x
  2. Step 2: Convert to fraction form
    1,468.88/2,014.13 = 2,014.13/x
  3. Step 3: Cross multiply
    1,468.88x = 2,014.13 × 2,014.13
  4. Step 4: Simplify right side
    1,468.88x = 4,056,699.52
  5. Step 5: Solve for x
    x = 4,056,699.52/1,468.88
  6. Step 6: Final answer
    x = 2,761.77

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.