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Finding the Third Proportional to 844.80 and 1,973.11

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Solution

The third proportional to 844.80 and 1,973.11 is: 4,608.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.80 : 1,973.11 = 1,973.11 : x
  2. Step 2: Convert to fraction form
    844.80/1,973.11 = 1,973.11/x
  3. Step 3: Cross multiply
    844.80x = 1,973.11 × 1,973.11
  4. Step 4: Simplify right side
    844.80x = 3,893,160.61
  5. Step 5: Solve for x
    x = 3,893,160.61/844.80
  6. Step 6: Final answer
    x = 4,608.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.