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Finding the Third Proportional to 12,784.50 and 27,961

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Solution

The third proportional to 12,784.50 and 27,961 is: 61,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,784.50 : 27,961 = 27,961 : x
  2. Step 2: Convert to fraction form
    12,784.50/27,961 = 27,961/x
  3. Step 3: Cross multiply
    12,784.50x = 27,961 × 27,961
  4. Step 4: Simplify right side
    12,784.50x = 781,817,521
  5. Step 5: Solve for x
    x = 781,817,521/12,784.50
  6. Step 6: Final answer
    x = 61,153.55

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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.