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Finding the Third Proportional to 1,164.38 and 2,463.75

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Solution

The third proportional to 1,164.38 and 2,463.75 is: 5,213.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.38 : 2,463.75 = 2,463.75 : x
  2. Step 2: Convert to fraction form
    1,164.38/2,463.75 = 2,463.75/x
  3. Step 3: Cross multiply
    1,164.38x = 2,463.75 × 2,463.75
  4. Step 4: Simplify right side
    1,164.38x = 6,070,064.06
  5. Step 5: Solve for x
    x = 6,070,064.06/1,164.38
  6. Step 6: Final answer
    x = 5,213.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.