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Finding the Third Proportional to 15,406.88 and 22,016.56

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Solution

The third proportional to 15,406.88 and 22,016.56 is: 31,461.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406.88 : 22,016.56 = 22,016.56 : x
  2. Step 2: Convert to fraction form
    15,406.88/22,016.56 = 22,016.56/x
  3. Step 3: Cross multiply
    15,406.88x = 22,016.56 × 22,016.56
  4. Step 4: Simplify right side
    15,406.88x = 484,729,024.32
  5. Step 5: Solve for x
    x = 484,729,024.32/15,406.88
  6. Step 6: Final answer
    x = 31,461.87

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.