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Finding the Third Proportional to 26,558 and 58,228

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Solution

The third proportional to 26,558 and 58,228 is: 127,663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,558 : 58,228 = 58,228 : x
  2. Step 2: Convert to fraction form
    26,558/58,228 = 58,228/x
  3. Step 3: Cross multiply
    26,558x = 58,228 × 58,228
  4. Step 4: Simplify right side
    26,558x = 3,390,499,984
  5. Step 5: Solve for x
    x = 3,390,499,984/26,558
  6. Step 6: Final answer
    x = 127,663.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.