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Finding the Third Proportional to 1,459.13 and 3,124.69

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Solution

The third proportional to 1,459.13 and 3,124.69 is: 6,691.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.13 : 3,124.69 = 3,124.69 : x
  2. Step 2: Convert to fraction form
    1,459.13/3,124.69 = 3,124.69/x
  3. Step 3: Cross multiply
    1,459.13x = 3,124.69 × 3,124.69
  4. Step 4: Simplify right side
    1,459.13x = 9,763,671.97
  5. Step 5: Solve for x
    x = 9,763,671.97/1,459.13
  6. Step 6: Final answer
    x = 6,691.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.