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Finding the Third Proportional to 23,948 and 32,216

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Solution

The third proportional to 23,948 and 32,216 is: 43,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,948 : 32,216 = 32,216 : x
  2. Step 2: Convert to fraction form
    23,948/32,216 = 32,216/x
  3. Step 3: Cross multiply
    23,948x = 32,216 × 32,216
  4. Step 4: Simplify right side
    23,948x = 1,037,870,656
  5. Step 5: Solve for x
    x = 1,037,870,656/23,948
  6. Step 6: Final answer
    x = 43,338.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.