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Finding the Third Proportional to 32,259 and 48,875

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Solution

The third proportional to 32,259 and 48,875 is: 74,049.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,259 : 48,875 = 48,875 : x
  2. Step 2: Convert to fraction form
    32,259/48,875 = 48,875/x
  3. Step 3: Cross multiply
    32,259x = 48,875 × 48,875
  4. Step 4: Simplify right side
    32,259x = 2,388,765,625
  5. Step 5: Solve for x
    x = 2,388,765,625/32,259
  6. Step 6: Final answer
    x = 74,049.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.