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Finding the Third Proportional to 24,649.31 and 40,047.75

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Solution

The third proportional to 24,649.31 and 40,047.75 is: 65,065.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,649.31 : 40,047.75 = 40,047.75 : x
  2. Step 2: Convert to fraction form
    24,649.31/40,047.75 = 40,047.75/x
  3. Step 3: Cross multiply
    24,649.31x = 40,047.75 × 40,047.75
  4. Step 4: Simplify right side
    24,649.31x = 1,603,822,280.06
  5. Step 5: Solve for x
    x = 1,603,822,280.06/24,649.31
  6. Step 6: Final answer
    x = 65,065.60

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.