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Finding the Third Proportional to 27,784 and 59,213

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Solution

The third proportional to 27,784 and 59,213 is: 126,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784 : 59,213 = 59,213 : x
  2. Step 2: Convert to fraction form
    27,784/59,213 = 59,213/x
  3. Step 3: Cross multiply
    27,784x = 59,213 × 59,213
  4. Step 4: Simplify right side
    27,784x = 3,506,179,369
  5. Step 5: Solve for x
    x = 3,506,179,369/27,784
  6. Step 6: Final answer
    x = 126,194.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.