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Finding the Third Proportional to 26,486.50 and 57,174.13

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Solution

The third proportional to 26,486.50 and 57,174.13 is: 123,416.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,486.50 : 57,174.13 = 57,174.13 : x
  2. Step 2: Convert to fraction form
    26,486.50/57,174.13 = 57,174.13/x
  3. Step 3: Cross multiply
    26,486.50x = 57,174.13 × 57,174.13
  4. Step 4: Simplify right side
    26,486.50x = 3,268,880,569.52
  5. Step 5: Solve for x
    x = 3,268,880,569.52/26,486.50
  6. Step 6: Final answer
    x = 123,416.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.