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Finding the Third Proportional to 15,853.22 and 24,289.88

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Solution

The third proportional to 15,853.22 and 24,289.88 is: 37,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.22 : 24,289.88 = 24,289.88 : x
  2. Step 2: Convert to fraction form
    15,853.22/24,289.88 = 24,289.88/x
  3. Step 3: Cross multiply
    15,853.22x = 24,289.88 × 24,289.88
  4. Step 4: Simplify right side
    15,853.22x = 589,998,027.52
  5. Step 5: Solve for x
    x = 589,998,027.52/15,853.22
  6. Step 6: Final answer
    x = 37,216.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.