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Finding the Third Proportional to 15,170.63 and 23,083.31

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Solution

The third proportional to 15,170.63 and 23,083.31 is: 35,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,170.63 : 23,083.31 = 23,083.31 : x
  2. Step 2: Convert to fraction form
    15,170.63/23,083.31 = 23,083.31/x
  3. Step 3: Cross multiply
    15,170.63x = 23,083.31 × 23,083.31
  4. Step 4: Simplify right side
    15,170.63x = 532,839,315.97
  5. Step 5: Solve for x
    x = 532,839,315.97/15,170.63
  6. Step 6: Final answer
    x = 35,123.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.