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Finding the Third Proportional to 40,896 and 62,072

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Solution

The third proportional to 40,896 and 62,072 is: 94,212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,896 : 62,072 = 62,072 : x
  2. Step 2: Convert to fraction form
    40,896/62,072 = 62,072/x
  3. Step 3: Cross multiply
    40,896x = 62,072 × 62,072
  4. Step 4: Simplify right side
    40,896x = 3,852,933,184
  5. Step 5: Solve for x
    x = 3,852,933,184/40,896
  6. Step 6: Final answer
    x = 94,212.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.