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Finding the Third Proportional to 39,072 and 62,900

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Solution

The third proportional to 39,072 and 62,900 is: 101,259.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,072 : 62,900 = 62,900 : x
  2. Step 2: Convert to fraction form
    39,072/62,900 = 62,900/x
  3. Step 3: Cross multiply
    39,072x = 62,900 × 62,900
  4. Step 4: Simplify right side
    39,072x = 3,956,410,000
  5. Step 5: Solve for x
    x = 3,956,410,000/39,072
  6. Step 6: Final answer
    x = 101,259.47

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.