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Finding the Third Proportional to 28,293 and 59,684

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Solution

The third proportional to 28,293 and 59,684 is: 125,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,293 : 59,684 = 59,684 : x
  2. Step 2: Convert to fraction form
    28,293/59,684 = 59,684/x
  3. Step 3: Cross multiply
    28,293x = 59,684 × 59,684
  4. Step 4: Simplify right side
    28,293x = 3,562,179,856
  5. Step 5: Solve for x
    x = 3,562,179,856/28,293
  6. Step 6: Final answer
    x = 125,903.22

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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.