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Finding the Third Proportional to 23,363.75 and 36,719.25

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Solution

The third proportional to 23,363.75 and 36,719.25 is: 57,709.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,363.75 : 36,719.25 = 36,719.25 : x
  2. Step 2: Convert to fraction form
    23,363.75/36,719.25 = 36,719.25/x
  3. Step 3: Cross multiply
    23,363.75x = 36,719.25 × 36,719.25
  4. Step 4: Simplify right side
    23,363.75x = 1,348,303,320.56
  5. Step 5: Solve for x
    x = 1,348,303,320.56/23,363.75
  6. Step 6: Final answer
    x = 57,709.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.