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Finding the Third Proportional to 27,441 and 42,363

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Solution

The third proportional to 27,441 and 42,363 is: 65,399.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,441 : 42,363 = 42,363 : x
  2. Step 2: Convert to fraction form
    27,441/42,363 = 42,363/x
  3. Step 3: Cross multiply
    27,441x = 42,363 × 42,363
  4. Step 4: Simplify right side
    27,441x = 1,794,623,769
  5. Step 5: Solve for x
    x = 1,794,623,769/27,441
  6. Step 6: Final answer
    x = 65,399.36

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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.