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Finding the Third Proportional to 27,832.50 and 61,497

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Solution

The third proportional to 27,832.50 and 61,497 is: 135,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.50 : 61,497 = 61,497 : x
  2. Step 2: Convert to fraction form
    27,832.50/61,497 = 61,497/x
  3. Step 3: Cross multiply
    27,832.50x = 61,497 × 61,497
  4. Step 4: Simplify right side
    27,832.50x = 3,781,881,009
  5. Step 5: Solve for x
    x = 3,781,881,009/27,832.50
  6. Step 6: Final answer
    x = 135,880.03

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.