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Finding the Third Proportional to 38,340.84 and 83,558.07

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Solution

The third proportional to 38,340.84 and 83,558.07 is: 182,102.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,340.84 : 83,558.07 = 83,558.07 : x
  2. Step 2: Convert to fraction form
    38,340.84/83,558.07 = 83,558.07/x
  3. Step 3: Cross multiply
    38,340.84x = 83,558.07 × 83,558.07
  4. Step 4: Simplify right side
    38,340.84x = 6,981,950,298.35
  5. Step 5: Solve for x
    x = 6,981,950,298.35/38,340.84
  6. Step 6: Final answer
    x = 182,102.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.