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Finding the Third Proportional to 10,016.44 and 15,571.13

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Solution

The third proportional to 10,016.44 and 15,571.13 is: 24,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.44 : 15,571.13 = 15,571.13 : x
  2. Step 2: Convert to fraction form
    10,016.44/15,571.13 = 15,571.13/x
  3. Step 3: Cross multiply
    10,016.44x = 15,571.13 × 15,571.13
  4. Step 4: Simplify right side
    10,016.44x = 242,459,933.77
  5. Step 5: Solve for x
    x = 242,459,933.77/10,016.44
  6. Step 6: Final answer
    x = 24,206.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.