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Finding the Third Proportional to 17,889.19 and 38,851.31

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Solution

The third proportional to 17,889.19 and 38,851.31 is: 84,376.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,889.19 : 38,851.31 = 38,851.31 : x
  2. Step 2: Convert to fraction form
    17,889.19/38,851.31 = 38,851.31/x
  3. Step 3: Cross multiply
    17,889.19x = 38,851.31 × 38,851.31
  4. Step 4: Simplify right side
    17,889.19x = 1,509,424,482.97
  5. Step 5: Solve for x
    x = 1,509,424,482.97/17,889.19
  6. Step 6: Final answer
    x = 84,376.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.