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Finding the Third Proportional to 15,406.88 and 22,016.81

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Solution

The third proportional to 15,406.88 and 22,016.81 is: 31,462.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,406.88 : 22,016.81 = 22,016.81 : x
  2. Step 2: Convert to fraction form
    15,406.88/22,016.81 = 22,016.81/x
  3. Step 3: Cross multiply
    15,406.88x = 22,016.81 × 22,016.81
  4. Step 4: Simplify right side
    15,406.88x = 484,740,032.66
  5. Step 5: Solve for x
    x = 484,740,032.66/15,406.88
  6. Step 6: Final answer
    x = 31,462.58

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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.