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Finding the Third Proportional to 27,356 and 58,600

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Solution

The third proportional to 27,356 and 58,600 is: 125,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,356 : 58,600 = 58,600 : x
  2. Step 2: Convert to fraction form
    27,356/58,600 = 58,600/x
  3. Step 3: Cross multiply
    27,356x = 58,600 × 58,600
  4. Step 4: Simplify right side
    27,356x = 3,433,960,000
  5. Step 5: Solve for x
    x = 3,433,960,000/27,356
  6. Step 6: Final answer
    x = 125,528.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.