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Finding the Third Proportional to 38,080 and 83,750

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Solution

The third proportional to 38,080 and 83,750 is: 184,192.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,080 : 83,750 = 83,750 : x
  2. Step 2: Convert to fraction form
    38,080/83,750 = 83,750/x
  3. Step 3: Cross multiply
    38,080x = 83,750 × 83,750
  4. Step 4: Simplify right side
    38,080x = 7,014,062,500
  5. Step 5: Solve for x
    x = 7,014,062,500/38,080
  6. Step 6: Final answer
    x = 184,192.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.