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Finding the Third Proportional to 27,342 and 59,796

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Solution

The third proportional to 27,342 and 59,796 is: 130,771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,342 : 59,796 = 59,796 : x
  2. Step 2: Convert to fraction form
    27,342/59,796 = 59,796/x
  3. Step 3: Cross multiply
    27,342x = 59,796 × 59,796
  4. Step 4: Simplify right side
    27,342x = 3,575,561,616
  5. Step 5: Solve for x
    x = 3,575,561,616/27,342
  6. Step 6: Final answer
    x = 130,771.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.