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Finding the Third Proportional to 32,919 and 70,835

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Solution

The third proportional to 32,919 and 70,835 is: 152,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,919 : 70,835 = 70,835 : x
  2. Step 2: Convert to fraction form
    32,919/70,835 = 70,835/x
  3. Step 3: Cross multiply
    32,919x = 70,835 × 70,835
  4. Step 4: Simplify right side
    32,919x = 5,017,597,225
  5. Step 5: Solve for x
    x = 5,017,597,225/32,919
  6. Step 6: Final answer
    x = 152,422.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.