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Finding the Third Proportional to 28,413 and 59,901

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Solution

The third proportional to 28,413 and 59,901 is: 126,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,413 : 59,901 = 59,901 : x
  2. Step 2: Convert to fraction form
    28,413/59,901 = 59,901/x
  3. Step 3: Cross multiply
    28,413x = 59,901 × 59,901
  4. Step 4: Simplify right side
    28,413x = 3,588,129,801
  5. Step 5: Solve for x
    x = 3,588,129,801/28,413
  6. Step 6: Final answer
    x = 126,284.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.