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Finding the Third Proportional to 38,364 and 61,071

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Solution

The third proportional to 38,364 and 61,071 is: 97,217.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,364 : 61,071 = 61,071 : x
  2. Step 2: Convert to fraction form
    38,364/61,071 = 61,071/x
  3. Step 3: Cross multiply
    38,364x = 61,071 × 61,071
  4. Step 4: Simplify right side
    38,364x = 3,729,667,041
  5. Step 5: Solve for x
    x = 3,729,667,041/38,364
  6. Step 6: Final answer
    x = 97,217.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.