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Finding the Third Proportional to 24,970 and 32,019

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Solution

The third proportional to 24,970 and 32,019 is: 41,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,970 : 32,019 = 32,019 : x
  2. Step 2: Convert to fraction form
    24,970/32,019 = 32,019/x
  3. Step 3: Cross multiply
    24,970x = 32,019 × 32,019
  4. Step 4: Simplify right side
    24,970x = 1,025,216,361
  5. Step 5: Solve for x
    x = 1,025,216,361/24,970
  6. Step 6: Final answer
    x = 41,057.92

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.