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Finding the Third Proportional to 38,348 and 83,875

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Solution

The third proportional to 38,348 and 83,875 is: 183,451.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,348 : 83,875 = 83,875 : x
  2. Step 2: Convert to fraction form
    38,348/83,875 = 83,875/x
  3. Step 3: Cross multiply
    38,348x = 83,875 × 83,875
  4. Step 4: Simplify right side
    38,348x = 7,035,015,625
  5. Step 5: Solve for x
    x = 7,035,015,625/38,348
  6. Step 6: Final answer
    x = 183,451.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.