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Finding the Third Proportional to 27,642 and 59,604

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Solution

The third proportional to 27,642 and 59,604 is: 128,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642 : 59,604 = 59,604 : x
  2. Step 2: Convert to fraction form
    27,642/59,604 = 59,604/x
  3. Step 3: Cross multiply
    27,642x = 59,604 × 59,604
  4. Step 4: Simplify right side
    27,642x = 3,552,636,816
  5. Step 5: Solve for x
    x = 3,552,636,816/27,642
  6. Step 6: Final answer
    x = 128,523.15

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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.