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Finding the Third Proportional to 18,596.25 and 38,182.50

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Solution

The third proportional to 18,596.25 and 38,182.50 is: 78,397.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596.25 : 38,182.50 = 38,182.50 : x
  2. Step 2: Convert to fraction form
    18,596.25/38,182.50 = 38,182.50/x
  3. Step 3: Cross multiply
    18,596.25x = 38,182.50 × 38,182.50
  4. Step 4: Simplify right side
    18,596.25x = 1,457,903,306.25
  5. Step 5: Solve for x
    x = 1,457,903,306.25/18,596.25
  6. Step 6: Final answer
    x = 78,397.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.