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Finding the Third Proportional to 19,501 and 42,241

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Solution

The third proportional to 19,501 and 42,241 is: 91,497.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,501 : 42,241 = 42,241 : x
  2. Step 2: Convert to fraction form
    19,501/42,241 = 42,241/x
  3. Step 3: Cross multiply
    19,501x = 42,241 × 42,241
  4. Step 4: Simplify right side
    19,501x = 1,784,302,081
  5. Step 5: Solve for x
    x = 1,784,302,081/19,501
  6. Step 6: Final answer
    x = 91,497.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.