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Finding the Third Proportional to 28,292 and 59,682

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Solution

The third proportional to 28,292 and 59,682 is: 125,899.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,292 : 59,682 = 59,682 : x
  2. Step 2: Convert to fraction form
    28,292/59,682 = 59,682/x
  3. Step 3: Cross multiply
    28,292x = 59,682 × 59,682
  4. Step 4: Simplify right side
    28,292x = 3,561,941,124
  5. Step 5: Solve for x
    x = 3,561,941,124/28,292
  6. Step 6: Final answer
    x = 125,899.23

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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.