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Finding the Third Proportional to 2,437 and 5,359

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Solution

The third proportional to 2,437 and 5,359 is: 11,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,437 : 5,359 = 5,359 : x
  2. Step 2: Convert to fraction form
    2,437/5,359 = 5,359/x
  3. Step 3: Cross multiply
    2,437x = 5,359 × 5,359
  4. Step 4: Simplify right side
    2,437x = 28,718,881
  5. Step 5: Solve for x
    x = 28,718,881/2,437
  6. Step 6: Final answer
    x = 11,784.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.