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Finding the Third Proportional to 7,073.25 and 14,920.88

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Solution

The third proportional to 7,073.25 and 14,920.88 is: 31,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.25 : 14,920.88 = 14,920.88 : x
  2. Step 2: Convert to fraction form
    7,073.25/14,920.88 = 14,920.88/x
  3. Step 3: Cross multiply
    7,073.25x = 14,920.88 × 14,920.88
  4. Step 4: Simplify right side
    7,073.25x = 222,632,510.77
  5. Step 5: Solve for x
    x = 222,632,510.77/7,073.25
  6. Step 6: Final answer
    x = 31,475.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.