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Finding the Third Proportional to 15,980.06 and 23,878.97

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Solution

The third proportional to 15,980.06 and 23,878.97 is: 35,682.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,980.06 : 23,878.97 = 23,878.97 : x
  2. Step 2: Convert to fraction form
    15,980.06/23,878.97 = 23,878.97/x
  3. Step 3: Cross multiply
    15,980.06x = 23,878.97 × 23,878.97
  4. Step 4: Simplify right side
    15,980.06x = 570,205,148.56
  5. Step 5: Solve for x
    x = 570,205,148.56/15,980.06
  6. Step 6: Final answer
    x = 35,682.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.