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Finding the Third Proportional to 23,943.19 and 36,247.50

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Solution

The third proportional to 23,943.19 and 36,247.50 is: 54,874.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,943.19 : 36,247.50 = 36,247.50 : x
  2. Step 2: Convert to fraction form
    23,943.19/36,247.50 = 36,247.50/x
  3. Step 3: Cross multiply
    23,943.19x = 36,247.50 × 36,247.50
  4. Step 4: Simplify right side
    23,943.19x = 1,313,881,256.25
  5. Step 5: Solve for x
    x = 1,313,881,256.25/23,943.19
  6. Step 6: Final answer
    x = 54,874.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.