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Finding the Third Proportional to 23,821.80 and 51,795.28

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Solution

The third proportional to 23,821.80 and 51,795.28 is: 112,617.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821.80 : 51,795.28 = 51,795.28 : x
  2. Step 2: Convert to fraction form
    23,821.80/51,795.28 = 51,795.28/x
  3. Step 3: Cross multiply
    23,821.80x = 51,795.28 × 51,795.28
  4. Step 4: Simplify right side
    23,821.80x = 2,682,751,159.77
  5. Step 5: Solve for x
    x = 2,682,751,159.77/23,821.80
  6. Step 6: Final answer
    x = 112,617.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.