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Finding the Third Proportional to 48,790 and 75,322

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Solution

The third proportional to 48,790 and 75,322 is: 116,282.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,790 : 75,322 = 75,322 : x
  2. Step 2: Convert to fraction form
    48,790/75,322 = 75,322/x
  3. Step 3: Cross multiply
    48,790x = 75,322 × 75,322
  4. Step 4: Simplify right side
    48,790x = 5,673,403,684
  5. Step 5: Solve for x
    x = 5,673,403,684/48,790
  6. Step 6: Final answer
    x = 116,282.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.