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Finding the Third Proportional to 1,127.67 and 2,459.74

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Solution

The third proportional to 1,127.67 and 2,459.74 is: 5,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.67 : 2,459.74 = 2,459.74 : x
  2. Step 2: Convert to fraction form
    1,127.67/2,459.74 = 2,459.74/x
  3. Step 3: Cross multiply
    1,127.67x = 2,459.74 × 2,459.74
  4. Step 4: Simplify right side
    1,127.67x = 6,050,331.63
  5. Step 5: Solve for x
    x = 6,050,331.63/1,127.67
  6. Step 6: Final answer
    x = 5,365.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.