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Finding the Third Proportional to 38,278 and 83,883

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Solution

The third proportional to 38,278 and 83,883 is: 183,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,278 : 83,883 = 83,883 : x
  2. Step 2: Convert to fraction form
    38,278/83,883 = 83,883/x
  3. Step 3: Cross multiply
    38,278x = 83,883 × 83,883
  4. Step 4: Simplify right side
    38,278x = 7,036,357,689
  5. Step 5: Solve for x
    x = 7,036,357,689/38,278
  6. Step 6: Final answer
    x = 183,822.50

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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.