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Finding the Third Proportional to 48,394 and 76,048

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Solution

The third proportional to 48,394 and 76,048 is: 119,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,394 : 76,048 = 76,048 : x
  2. Step 2: Convert to fraction form
    48,394/76,048 = 76,048/x
  3. Step 3: Cross multiply
    48,394x = 76,048 × 76,048
  4. Step 4: Simplify right side
    48,394x = 5,783,298,304
  5. Step 5: Solve for x
    x = 5,783,298,304/48,394
  6. Step 6: Final answer
    x = 119,504.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.