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Finding the Third Proportional to 15,415.31 and 23,943.09

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Solution

The third proportional to 15,415.31 and 23,943.09 is: 37,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,415.31 : 23,943.09 = 23,943.09 : x
  2. Step 2: Convert to fraction form
    15,415.31/23,943.09 = 23,943.09/x
  3. Step 3: Cross multiply
    15,415.31x = 23,943.09 × 23,943.09
  4. Step 4: Simplify right side
    15,415.31x = 573,271,738.32
  5. Step 5: Solve for x
    x = 573,271,738.32/15,415.31
  6. Step 6: Final answer
    x = 37,188.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.