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Finding the Third Proportional to 38,392 and 83,968

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Solution

The third proportional to 38,392 and 83,968 is: 183,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,392 : 83,968 = 83,968 : x
  2. Step 2: Convert to fraction form
    38,392/83,968 = 83,968/x
  3. Step 3: Cross multiply
    38,392x = 83,968 × 83,968
  4. Step 4: Simplify right side
    38,392x = 7,050,625,024
  5. Step 5: Solve for x
    x = 7,050,625,024/38,392
  6. Step 6: Final answer
    x = 183,648.29

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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.