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Finding the Third Proportional to 24,613 and 38,185

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Solution

The third proportional to 24,613 and 38,185 is: 59,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,613 : 38,185 = 38,185 : x
  2. Step 2: Convert to fraction form
    24,613/38,185 = 38,185/x
  3. Step 3: Cross multiply
    24,613x = 38,185 × 38,185
  4. Step 4: Simplify right side
    24,613x = 1,458,094,225
  5. Step 5: Solve for x
    x = 1,458,094,225/24,613
  6. Step 6: Final answer
    x = 59,240.82

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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.