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Finding the Third Proportional to 17,382.09 and 19,526.06

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Solution

The third proportional to 17,382.09 and 19,526.06 is: 21,934.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382.09 : 19,526.06 = 19,526.06 : x
  2. Step 2: Convert to fraction form
    17,382.09/19,526.06 = 19,526.06/x
  3. Step 3: Cross multiply
    17,382.09x = 19,526.06 × 19,526.06
  4. Step 4: Simplify right side
    17,382.09x = 381,267,116.75
  5. Step 5: Solve for x
    x = 381,267,116.75/17,382.09
  6. Step 6: Final answer
    x = 21,934.48

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.