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Finding the Third Proportional to 7,026.75 and 14,698.97

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Solution

The third proportional to 7,026.75 and 14,698.97 is: 30,748.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,026.75 : 14,698.97 = 14,698.97 : x
  2. Step 2: Convert to fraction form
    7,026.75/14,698.97 = 14,698.97/x
  3. Step 3: Cross multiply
    7,026.75x = 14,698.97 × 14,698.97
  4. Step 4: Simplify right side
    7,026.75x = 216,059,682.31
  5. Step 5: Solve for x
    x = 216,059,682.31/7,026.75
  6. Step 6: Final answer
    x = 30,748.17

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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.