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Finding the Third Proportional to 31,560.10 and 69,156.28

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Solution

The third proportional to 31,560.10 and 69,156.28 is: 151,539.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,560.10 : 69,156.28 = 69,156.28 : x
  2. Step 2: Convert to fraction form
    31,560.10/69,156.28 = 69,156.28/x
  3. Step 3: Cross multiply
    31,560.10x = 69,156.28 × 69,156.28
  4. Step 4: Simplify right side
    31,560.10x = 4,782,591,236.33
  5. Step 5: Solve for x
    x = 4,782,591,236.33/31,560.10
  6. Step 6: Final answer
    x = 151,539.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.