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Finding the Third Proportional to 9,029.25 and 18,878.63

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Solution

The third proportional to 9,029.25 and 18,878.63 is: 39,471.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,029.25 : 18,878.63 = 18,878.63 : x
  2. Step 2: Convert to fraction form
    9,029.25/18,878.63 = 18,878.63/x
  3. Step 3: Cross multiply
    9,029.25x = 18,878.63 × 18,878.63
  4. Step 4: Simplify right side
    9,029.25x = 356,402,481.89
  5. Step 5: Solve for x
    x = 356,402,481.89/9,029.25
  6. Step 6: Final answer
    x = 39,471.99

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.