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Finding the Third Proportional to 26,782 and 58,330

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Solution

The third proportional to 26,782 and 58,330 is: 127,040.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782 : 58,330 = 58,330 : x
  2. Step 2: Convert to fraction form
    26,782/58,330 = 58,330/x
  3. Step 3: Cross multiply
    26,782x = 58,330 × 58,330
  4. Step 4: Simplify right side
    26,782x = 3,402,388,900
  5. Step 5: Solve for x
    x = 3,402,388,900/26,782
  6. Step 6: Final answer
    x = 127,040.14

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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.