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Finding the Third Proportional to 19,772.25 and 46,673.25

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Solution

The third proportional to 19,772.25 and 46,673.25 is: 110,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.25 : 46,673.25 = 46,673.25 : x
  2. Step 2: Convert to fraction form
    19,772.25/46,673.25 = 46,673.25/x
  3. Step 3: Cross multiply
    19,772.25x = 46,673.25 × 46,673.25
  4. Step 4: Simplify right side
    19,772.25x = 2,178,392,265.56
  5. Step 5: Solve for x
    x = 2,178,392,265.56/19,772.25
  6. Step 6: Final answer
    x = 110,174.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.