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Finding the Third Proportional to 24,177 and 37,365

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Solution

The third proportional to 24,177 and 37,365 is: 57,746.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,177 : 37,365 = 37,365 : x
  2. Step 2: Convert to fraction form
    24,177/37,365 = 37,365/x
  3. Step 3: Cross multiply
    24,177x = 37,365 × 37,365
  4. Step 4: Simplify right side
    24,177x = 1,396,143,225
  5. Step 5: Solve for x
    x = 1,396,143,225/24,177
  6. Step 6: Final answer
    x = 57,746.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.