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Finding the Third Proportional to 7,117.03 and 14,029.03

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Solution

The third proportional to 7,117.03 and 14,029.03 is: 27,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.03 : 14,029.03 = 14,029.03 : x
  2. Step 2: Convert to fraction form
    7,117.03/14,029.03 = 14,029.03/x
  3. Step 3: Cross multiply
    7,117.03x = 14,029.03 × 14,029.03
  4. Step 4: Simplify right side
    7,117.03x = 196,813,717.81
  5. Step 5: Solve for x
    x = 196,813,717.81/7,117.03
  6. Step 6: Final answer
    x = 27,653.91

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.