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Finding the Third Proportional to 32,348 and 48,322

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Solution

The third proportional to 32,348 and 48,322 is: 72,184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,348 : 48,322 = 48,322 : x
  2. Step 2: Convert to fraction form
    32,348/48,322 = 48,322/x
  3. Step 3: Cross multiply
    32,348x = 48,322 × 48,322
  4. Step 4: Simplify right side
    32,348x = 2,335,015,684
  5. Step 5: Solve for x
    x = 2,335,015,684/32,348
  6. Step 6: Final answer
    x = 72,184.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.