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Finding the Third Proportional to 22,459.50 and 34,771.50

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Solution

The third proportional to 22,459.50 and 34,771.50 is: 53,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,459.50 : 34,771.50 = 34,771.50 : x
  2. Step 2: Convert to fraction form
    22,459.50/34,771.50 = 34,771.50/x
  3. Step 3: Cross multiply
    22,459.50x = 34,771.50 × 34,771.50
  4. Step 4: Simplify right side
    22,459.50x = 1,209,057,212.25
  5. Step 5: Solve for x
    x = 1,209,057,212.25/22,459.50
  6. Step 6: Final answer
    x = 53,832.78

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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.