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Finding the Third Proportional to 27,254 and 42,337

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Solution

The third proportional to 27,254 and 42,337 is: 65,767.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,254 : 42,337 = 42,337 : x
  2. Step 2: Convert to fraction form
    27,254/42,337 = 42,337/x
  3. Step 3: Cross multiply
    27,254x = 42,337 × 42,337
  4. Step 4: Simplify right side
    27,254x = 1,792,421,569
  5. Step 5: Solve for x
    x = 1,792,421,569/27,254
  6. Step 6: Final answer
    x = 65,767.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.