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Finding the Third Proportional to 40,775.50 and 63,019

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Solution

The third proportional to 40,775.50 and 63,019 is: 97,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,775.50 : 63,019 = 63,019 : x
  2. Step 2: Convert to fraction form
    40,775.50/63,019 = 63,019/x
  3. Step 3: Cross multiply
    40,775.50x = 63,019 × 63,019
  4. Step 4: Simplify right side
    40,775.50x = 3,971,394,361
  5. Step 5: Solve for x
    x = 3,971,394,361/40,775.50
  6. Step 6: Final answer
    x = 97,396.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.