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Finding the Third Proportional to 48,040 and 76,000

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Solution

The third proportional to 48,040 and 76,000 is: 120,233.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,040 : 76,000 = 76,000 : x
  2. Step 2: Convert to fraction form
    48,040/76,000 = 76,000/x
  3. Step 3: Cross multiply
    48,040x = 76,000 × 76,000
  4. Step 4: Simplify right side
    48,040x = 5,776,000,000
  5. Step 5: Solve for x
    x = 5,776,000,000/48,040
  6. Step 6: Final answer
    x = 120,233.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.