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Finding the Third Proportional to 12,035.25 and 26,446.50

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Solution

The third proportional to 12,035.25 and 26,446.50 is: 58,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,035.25 : 26,446.50 = 26,446.50 : x
  2. Step 2: Convert to fraction form
    12,035.25/26,446.50 = 26,446.50/x
  3. Step 3: Cross multiply
    12,035.25x = 26,446.50 × 26,446.50
  4. Step 4: Simplify right side
    12,035.25x = 699,417,362.25
  5. Step 5: Solve for x
    x = 699,417,362.25/12,035.25
  6. Step 6: Final answer
    x = 58,114.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.