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Finding the Third Proportional to 25,588.50 and 53,979

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Solution

The third proportional to 25,588.50 and 53,979 is: 113,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,588.50 : 53,979 = 53,979 : x
  2. Step 2: Convert to fraction form
    25,588.50/53,979 = 53,979/x
  3. Step 3: Cross multiply
    25,588.50x = 53,979 × 53,979
  4. Step 4: Simplify right side
    25,588.50x = 2,913,732,441
  5. Step 5: Solve for x
    x = 2,913,732,441/25,588.50
  6. Step 6: Final answer
    x = 113,868.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.