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Finding the Third Proportional to 26,232.50 and 41,719.25

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Solution

The third proportional to 26,232.50 and 41,719.25 is: 66,348.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,232.50 : 41,719.25 = 41,719.25 : x
  2. Step 2: Convert to fraction form
    26,232.50/41,719.25 = 41,719.25/x
  3. Step 3: Cross multiply
    26,232.50x = 41,719.25 × 41,719.25
  4. Step 4: Simplify right side
    26,232.50x = 1,740,495,820.56
  5. Step 5: Solve for x
    x = 1,740,495,820.56/26,232.50
  6. Step 6: Final answer
    x = 66,348.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.