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Finding the Third Proportional to 27,410.50 and 59,051

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Solution

The third proportional to 27,410.50 and 59,051 is: 127,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410.50 : 59,051 = 59,051 : x
  2. Step 2: Convert to fraction form
    27,410.50/59,051 = 59,051/x
  3. Step 3: Cross multiply
    27,410.50x = 59,051 × 59,051
  4. Step 4: Simplify right side
    27,410.50x = 3,487,020,601
  5. Step 5: Solve for x
    x = 3,487,020,601/27,410.50
  6. Step 6: Final answer
    x = 127,214.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.