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Finding the Third Proportional to 26,580 and 56,398

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Solution

The third proportional to 26,580 and 56,398 is: 119,666.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,580 : 56,398 = 56,398 : x
  2. Step 2: Convert to fraction form
    26,580/56,398 = 56,398/x
  3. Step 3: Cross multiply
    26,580x = 56,398 × 56,398
  4. Step 4: Simplify right side
    26,580x = 3,180,734,404
  5. Step 5: Solve for x
    x = 3,180,734,404/26,580
  6. Step 6: Final answer
    x = 119,666.46

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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.