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Finding the Third Proportional to 22,903.50 and 49,269.75

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Solution

The third proportional to 22,903.50 and 49,269.75 is: 105,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,903.50 : 49,269.75 = 49,269.75 : x
  2. Step 2: Convert to fraction form
    22,903.50/49,269.75 = 49,269.75/x
  3. Step 3: Cross multiply
    22,903.50x = 49,269.75 × 49,269.75
  4. Step 4: Simplify right side
    22,903.50x = 2,427,508,265.06
  5. Step 5: Solve for x
    x = 2,427,508,265.06/22,903.50
  6. Step 6: Final answer
    x = 105,988.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.