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Finding the Third Proportional to 32,315.20 and 72,524.11

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Solution

The third proportional to 32,315.20 and 72,524.11 is: 162,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,315.20 : 72,524.11 = 72,524.11 : x
  2. Step 2: Convert to fraction form
    32,315.20/72,524.11 = 72,524.11/x
  3. Step 3: Cross multiply
    32,315.20x = 72,524.11 × 72,524.11
  4. Step 4: Simplify right side
    32,315.20x = 5,259,746,440.64
  5. Step 5: Solve for x
    x = 5,259,746,440.64/32,315.20
  6. Step 6: Final answer
    x = 162,763.84

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.