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Finding the Third Proportional to 27,374 and 59,022

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Solution

The third proportional to 27,374 and 59,022 is: 127,259.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,374 : 59,022 = 59,022 : x
  2. Step 2: Convert to fraction form
    27,374/59,022 = 59,022/x
  3. Step 3: Cross multiply
    27,374x = 59,022 × 59,022
  4. Step 4: Simplify right side
    27,374x = 3,483,596,484
  5. Step 5: Solve for x
    x = 3,483,596,484/27,374
  6. Step 6: Final answer
    x = 127,259.31

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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.