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Finding the Third Proportional to 32,926 and 70,850

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Solution

The third proportional to 32,926 and 70,850 is: 152,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,926 : 70,850 = 70,850 : x
  2. Step 2: Convert to fraction form
    32,926/70,850 = 70,850/x
  3. Step 3: Cross multiply
    32,926x = 70,850 × 70,850
  4. Step 4: Simplify right side
    32,926x = 5,019,722,500
  5. Step 5: Solve for x
    x = 5,019,722,500/32,926
  6. Step 6: Final answer
    x = 152,454.67

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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.