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Finding the Third Proportional to 16,606.69 and 24,271.31

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Solution

The third proportional to 16,606.69 and 24,271.31 is: 35,473.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,606.69 : 24,271.31 = 24,271.31 : x
  2. Step 2: Convert to fraction form
    16,606.69/24,271.31 = 24,271.31/x
  3. Step 3: Cross multiply
    16,606.69x = 24,271.31 × 24,271.31
  4. Step 4: Simplify right side
    16,606.69x = 589,096,610.47
  5. Step 5: Solve for x
    x = 589,096,610.47/16,606.69
  6. Step 6: Final answer
    x = 35,473.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.