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Finding the Third Proportional to 27,374 and 59,021

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Solution

The third proportional to 27,374 and 59,021 is: 127,255.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,374 : 59,021 = 59,021 : x
  2. Step 2: Convert to fraction form
    27,374/59,021 = 59,021/x
  3. Step 3: Cross multiply
    27,374x = 59,021 × 59,021
  4. Step 4: Simplify right side
    27,374x = 3,483,478,441
  5. Step 5: Solve for x
    x = 3,483,478,441/27,374
  6. Step 6: Final answer
    x = 127,255.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.