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Finding the Third Proportional to 32,764 and 70,700

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Solution

The third proportional to 32,764 and 70,700 is: 152,560.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,764 : 70,700 = 70,700 : x
  2. Step 2: Convert to fraction form
    32,764/70,700 = 70,700/x
  3. Step 3: Cross multiply
    32,764x = 70,700 × 70,700
  4. Step 4: Simplify right side
    32,764x = 4,998,490,000
  5. Step 5: Solve for x
    x = 4,998,490,000/32,764
  6. Step 6: Final answer
    x = 152,560.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.