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Finding the Third Proportional to 15,662.95 and 24,236.30

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Solution

The third proportional to 15,662.95 and 24,236.30 is: 37,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,662.95 : 24,236.30 = 24,236.30 : x
  2. Step 2: Convert to fraction form
    15,662.95/24,236.30 = 24,236.30/x
  3. Step 3: Cross multiply
    15,662.95x = 24,236.30 × 24,236.30
  4. Step 4: Simplify right side
    15,662.95x = 587,398,086.21
  5. Step 5: Solve for x
    x = 587,398,086.21/15,662.95
  6. Step 6: Final answer
    x = 37,502.38

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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.