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Finding the Third Proportional to 38,619 and 84,534

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Solution

The third proportional to 38,619 and 84,534 is: 185,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,619 : 84,534 = 84,534 : x
  2. Step 2: Convert to fraction form
    38,619/84,534 = 84,534/x
  3. Step 3: Cross multiply
    38,619x = 84,534 × 84,534
  4. Step 4: Simplify right side
    38,619x = 7,145,997,156
  5. Step 5: Solve for x
    x = 7,145,997,156/38,619
  6. Step 6: Final answer
    x = 185,038.38

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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.