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Finding the Third Proportional to 32,269 and 48,888

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Solution

The third proportional to 32,269 and 48,888 is: 74,066.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,269 : 48,888 = 48,888 : x
  2. Step 2: Convert to fraction form
    32,269/48,888 = 48,888/x
  3. Step 3: Cross multiply
    32,269x = 48,888 × 48,888
  4. Step 4: Simplify right side
    32,269x = 2,390,036,544
  5. Step 5: Solve for x
    x = 2,390,036,544/32,269
  6. Step 6: Final answer
    x = 74,066.02

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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.