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Finding the Third Proportional to 32,770.50 and 69,459

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Solution

The third proportional to 32,770.50 and 69,459 is: 147,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,770.50 : 69,459 = 69,459 : x
  2. Step 2: Convert to fraction form
    32,770.50/69,459 = 69,459/x
  3. Step 3: Cross multiply
    32,770.50x = 69,459 × 69,459
  4. Step 4: Simplify right side
    32,770.50x = 4,824,552,681
  5. Step 5: Solve for x
    x = 4,824,552,681/32,770.50
  6. Step 6: Final answer
    x = 147,222.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.