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Finding the Third Proportional to 25,154 and 37,794

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Solution

The third proportional to 25,154 and 37,794 is: 56,785.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,154 : 37,794 = 37,794 : x
  2. Step 2: Convert to fraction form
    25,154/37,794 = 37,794/x
  3. Step 3: Cross multiply
    25,154x = 37,794 × 37,794
  4. Step 4: Simplify right side
    25,154x = 1,428,386,436
  5. Step 5: Solve for x
    x = 1,428,386,436/25,154
  6. Step 6: Final answer
    x = 56,785.66

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Why These Related Problems?

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