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Finding the Third Proportional to 26,865 and 58,488

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Solution

The third proportional to 26,865 and 58,488 is: 127,334.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,865 : 58,488 = 58,488 : x
  2. Step 2: Convert to fraction form
    26,865/58,488 = 58,488/x
  3. Step 3: Cross multiply
    26,865x = 58,488 × 58,488
  4. Step 4: Simplify right side
    26,865x = 3,420,846,144
  5. Step 5: Solve for x
    x = 3,420,846,144/26,865
  6. Step 6: Final answer
    x = 127,334.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.