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Finding the Third Proportional to 11,322.84 and 16,331.06

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Solution

The third proportional to 11,322.84 and 16,331.06 is: 23,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,322.84 : 16,331.06 = 16,331.06 : x
  2. Step 2: Convert to fraction form
    11,322.84/16,331.06 = 16,331.06/x
  3. Step 3: Cross multiply
    11,322.84x = 16,331.06 × 16,331.06
  4. Step 4: Simplify right side
    11,322.84x = 266,703,602.38
  5. Step 5: Solve for x
    x = 266,703,602.38/11,322.84
  6. Step 6: Final answer
    x = 23,554.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.