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Finding the Third Proportional to 7,973.44 and 20,989.13

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Solution

The third proportional to 7,973.44 and 20,989.13 is: 55,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,973.44 : 20,989.13 = 20,989.13 : x
  2. Step 2: Convert to fraction form
    7,973.44/20,989.13 = 20,989.13/x
  3. Step 3: Cross multiply
    7,973.44x = 20,989.13 × 20,989.13
  4. Step 4: Simplify right side
    7,973.44x = 440,543,368.27
  5. Step 5: Solve for x
    x = 440,543,368.27/7,973.44
  6. Step 6: Final answer
    x = 55,251.37

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.