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Finding the Third Proportional to 1,177.88 and 2,468.81

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Solution

The third proportional to 1,177.88 and 2,468.81 is: 5,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.88 : 2,468.81 = 2,468.81 : x
  2. Step 2: Convert to fraction form
    1,177.88/2,468.81 = 2,468.81/x
  3. Step 3: Cross multiply
    1,177.88x = 2,468.81 × 2,468.81
  4. Step 4: Simplify right side
    1,177.88x = 6,095,035.16
  5. Step 5: Solve for x
    x = 6,095,035.16/1,177.88
  6. Step 6: Final answer
    x = 5,174.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.