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Finding the Third Proportional to 12,398 and 26,716

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Solution

The third proportional to 12,398 and 26,716 is: 57,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398 : 26,716 = 26,716 : x
  2. Step 2: Convert to fraction form
    12,398/26,716 = 26,716/x
  3. Step 3: Cross multiply
    12,398x = 26,716 × 26,716
  4. Step 4: Simplify right side
    12,398x = 713,744,656
  5. Step 5: Solve for x
    x = 713,744,656/12,398
  6. Step 6: Final answer
    x = 57,569.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.