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Finding the Third Proportional to 25,516.69 and 37,384.03

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Solution

The third proportional to 25,516.69 and 37,384.03 is: 54,770.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,516.69 : 37,384.03 = 37,384.03 : x
  2. Step 2: Convert to fraction form
    25,516.69/37,384.03 = 37,384.03/x
  3. Step 3: Cross multiply
    25,516.69x = 37,384.03 × 37,384.03
  4. Step 4: Simplify right side
    25,516.69x = 1,397,565,792.50
  5. Step 5: Solve for x
    x = 1,397,565,792.50/25,516.69
  6. Step 6: Final answer
    x = 54,770.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.