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Finding the Third Proportional to 48,032 and 74,544

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Solution

The third proportional to 48,032 and 74,544 is: 115,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,032 : 74,544 = 74,544 : x
  2. Step 2: Convert to fraction form
    48,032/74,544 = 74,544/x
  3. Step 3: Cross multiply
    48,032x = 74,544 × 74,544
  4. Step 4: Simplify right side
    48,032x = 5,556,807,936
  5. Step 5: Solve for x
    x = 5,556,807,936/48,032
  6. Step 6: Final answer
    x = 115,689.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.