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Finding the Third Proportional to 27,646 and 59,237

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Solution

The third proportional to 27,646 and 59,237 is: 126,926.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646 : 59,237 = 59,237 : x
  2. Step 2: Convert to fraction form
    27,646/59,237 = 59,237/x
  3. Step 3: Cross multiply
    27,646x = 59,237 × 59,237
  4. Step 4: Simplify right side
    27,646x = 3,509,022,169
  5. Step 5: Solve for x
    x = 3,509,022,169/27,646
  6. Step 6: Final answer
    x = 126,926.94

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Why These Related Problems?

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