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Finding the Third Proportional to 7,022.32 and 14,954.47

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Solution

The third proportional to 7,022.32 and 14,954.47 is: 31,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,022.32 : 14,954.47 = 14,954.47 : x
  2. Step 2: Convert to fraction form
    7,022.32/14,954.47 = 14,954.47/x
  3. Step 3: Cross multiply
    7,022.32x = 14,954.47 × 14,954.47
  4. Step 4: Simplify right side
    7,022.32x = 223,636,077.18
  5. Step 5: Solve for x
    x = 223,636,077.18/7,022.32
  6. Step 6: Final answer
    x = 31,846.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.