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Finding the Third Proportional to 28,294 and 59,686

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Solution

The third proportional to 28,294 and 59,686 is: 125,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,294 : 59,686 = 59,686 : x
  2. Step 2: Convert to fraction form
    28,294/59,686 = 59,686/x
  3. Step 3: Cross multiply
    28,294x = 59,686 × 59,686
  4. Step 4: Simplify right side
    28,294x = 3,562,418,596
  5. Step 5: Solve for x
    x = 3,562,418,596/28,294
  6. Step 6: Final answer
    x = 125,907.21

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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.