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Finding the Third Proportional to 27,384 and 42,237

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Solution

The third proportional to 27,384 and 42,237 is: 65,146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384 : 42,237 = 42,237 : x
  2. Step 2: Convert to fraction form
    27,384/42,237 = 42,237/x
  3. Step 3: Cross multiply
    27,384x = 42,237 × 42,237
  4. Step 4: Simplify right side
    27,384x = 1,783,964,169
  5. Step 5: Solve for x
    x = 1,783,964,169/27,384
  6. Step 6: Final answer
    x = 65,146.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.