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Finding the Third Proportional to 23,656.50 and 38,112.75

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Solution

The third proportional to 23,656.50 and 38,112.75 is: 61,403.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,656.50 : 38,112.75 = 38,112.75 : x
  2. Step 2: Convert to fraction form
    23,656.50/38,112.75 = 38,112.75/x
  3. Step 3: Cross multiply
    23,656.50x = 38,112.75 × 38,112.75
  4. Step 4: Simplify right side
    23,656.50x = 1,452,581,712.56
  5. Step 5: Solve for x
    x = 1,452,581,712.56/23,656.50
  6. Step 6: Final answer
    x = 61,403.07

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.