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Finding the Third Proportional to 2,332 and 5,254

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Solution

The third proportional to 2,332 and 5,254 is: 11,837.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332 : 5,254 = 5,254 : x
  2. Step 2: Convert to fraction form
    2,332/5,254 = 5,254/x
  3. Step 3: Cross multiply
    2,332x = 5,254 × 5,254
  4. Step 4: Simplify right side
    2,332x = 27,604,516
  5. Step 5: Solve for x
    x = 27,604,516/2,332
  6. Step 6: Final answer
    x = 11,837.27

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.