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Finding the Third Proportional to 10,966.88 and 16,040.81

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Solution

The third proportional to 10,966.88 and 16,040.81 is: 23,462.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,966.88 : 16,040.81 = 16,040.81 : x
  2. Step 2: Convert to fraction form
    10,966.88/16,040.81 = 16,040.81/x
  3. Step 3: Cross multiply
    10,966.88x = 16,040.81 × 16,040.81
  4. Step 4: Simplify right side
    10,966.88x = 257,307,665.66
  5. Step 5: Solve for x
    x = 257,307,665.66/10,966.88
  6. Step 6: Final answer
    x = 23,462.26

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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.