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Finding the Third Proportional to 23,294.25 and 31,035.38

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Solution

The third proportional to 23,294.25 and 31,035.38 is: 41,349.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,294.25 : 31,035.38 = 31,035.38 : x
  2. Step 2: Convert to fraction form
    23,294.25/31,035.38 = 31,035.38/x
  3. Step 3: Cross multiply
    23,294.25x = 31,035.38 × 31,035.38
  4. Step 4: Simplify right side
    23,294.25x = 963,194,501.39
  5. Step 5: Solve for x
    x = 963,194,501.39/23,294.25
  6. Step 6: Final answer
    x = 41,349.02

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.