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Finding the Third Proportional to 29,028 and 59,286

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Solution

The third proportional to 29,028 and 59,286 is: 121,084.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,028 : 59,286 = 59,286 : x
  2. Step 2: Convert to fraction form
    29,028/59,286 = 59,286/x
  3. Step 3: Cross multiply
    29,028x = 59,286 × 59,286
  4. Step 4: Simplify right side
    29,028x = 3,514,829,796
  5. Step 5: Solve for x
    x = 3,514,829,796/29,028
  6. Step 6: Final answer
    x = 121,084.12

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.