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Finding the Third Proportional to 22,531.64 and 52,159.29

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Solution

The third proportional to 22,531.64 and 52,159.29 is: 120,745.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,531.64 : 52,159.29 = 52,159.29 : x
  2. Step 2: Convert to fraction form
    22,531.64/52,159.29 = 52,159.29/x
  3. Step 3: Cross multiply
    22,531.64x = 52,159.29 × 52,159.29
  4. Step 4: Simplify right side
    22,531.64x = 2,720,591,435.51
  5. Step 5: Solve for x
    x = 2,720,591,435.51/22,531.64
  6. Step 6: Final answer
    x = 120,745.38

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.