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Finding the Third Proportional to 25,669.50 and 56,238

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Solution

The third proportional to 25,669.50 and 56,238 is: 123,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,669.50 : 56,238 = 56,238 : x
  2. Step 2: Convert to fraction form
    25,669.50/56,238 = 56,238/x
  3. Step 3: Cross multiply
    25,669.50x = 56,238 × 56,238
  4. Step 4: Simplify right side
    25,669.50x = 3,162,712,644
  5. Step 5: Solve for x
    x = 3,162,712,644/25,669.50
  6. Step 6: Final answer
    x = 123,208.97

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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.