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Finding the Third Proportional to 28,848 and 42,177

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Solution

The third proportional to 28,848 and 42,177 is: 61,664.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,848 : 42,177 = 42,177 : x
  2. Step 2: Convert to fraction form
    28,848/42,177 = 42,177/x
  3. Step 3: Cross multiply
    28,848x = 42,177 × 42,177
  4. Step 4: Simplify right side
    28,848x = 1,778,899,329
  5. Step 5: Solve for x
    x = 1,778,899,329/28,848
  6. Step 6: Final answer
    x = 61,664.56

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.