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Finding the Third Proportional to 7,026.25 and 14,701.75

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Solution

The third proportional to 7,026.25 and 14,701.75 is: 30,761.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.25 : 14,701.75 = 14,701.75 : x
  2. Step 2: Convert to fraction form
    7,026.25/14,701.75 = 14,701.75/x
  3. Step 3: Cross multiply
    7,026.25x = 14,701.75 × 14,701.75
  4. Step 4: Simplify right side
    7,026.25x = 216,141,453.06
  5. Step 5: Solve for x
    x = 216,141,453.06/7,026.25
  6. Step 6: Final answer
    x = 30,761.99

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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.