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Finding the Third Proportional to 38,416.50 and 83,565

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Solution

The third proportional to 38,416.50 and 83,565 is: 181,773.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,416.50 : 83,565 = 83,565 : x
  2. Step 2: Convert to fraction form
    38,416.50/83,565 = 83,565/x
  3. Step 3: Cross multiply
    38,416.50x = 83,565 × 83,565
  4. Step 4: Simplify right side
    38,416.50x = 6,983,109,225
  5. Step 5: Solve for x
    x = 6,983,109,225/38,416.50
  6. Step 6: Final answer
    x = 181,773.70

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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.