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Finding the Third Proportional to 9,247.69 and 19,973.44

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Solution

The third proportional to 9,247.69 and 19,973.44 is: 43,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.69 : 19,973.44 = 19,973.44 : x
  2. Step 2: Convert to fraction form
    9,247.69/19,973.44 = 19,973.44/x
  3. Step 3: Cross multiply
    9,247.69x = 19,973.44 × 19,973.44
  4. Step 4: Simplify right side
    9,247.69x = 398,938,205.57
  5. Step 5: Solve for x
    x = 398,938,205.57/9,247.69
  6. Step 6: Final answer
    x = 43,139.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.