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Finding the Third Proportional to 22,662 and 53,321.63

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Solution

The third proportional to 22,662 and 53,321.63 is: 125,460.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,662 : 53,321.63 = 53,321.63 : x
  2. Step 2: Convert to fraction form
    22,662/53,321.63 = 53,321.63/x
  3. Step 3: Cross multiply
    22,662x = 53,321.63 × 53,321.63
  4. Step 4: Simplify right side
    22,662x = 2,843,195,692.64
  5. Step 5: Solve for x
    x = 2,843,195,692.64/22,662
  6. Step 6: Final answer
    x = 125,460.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.