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Finding the Third Proportional to 24,808.75 and 37,269.38

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Solution

The third proportional to 24,808.75 and 37,269.38 is: 55,988.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,808.75 : 37,269.38 = 37,269.38 : x
  2. Step 2: Convert to fraction form
    24,808.75/37,269.38 = 37,269.38/x
  3. Step 3: Cross multiply
    24,808.75x = 37,269.38 × 37,269.38
  4. Step 4: Simplify right side
    24,808.75x = 1,389,006,312.89
  5. Step 5: Solve for x
    x = 1,389,006,312.89/24,808.75
  6. Step 6: Final answer
    x = 55,988.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.