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Finding the Third Proportional to 24,331.50 and 46,118.50

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Solution

The third proportional to 24,331.50 and 46,118.50 is: 87,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,331.50 : 46,118.50 = 46,118.50 : x
  2. Step 2: Convert to fraction form
    24,331.50/46,118.50 = 46,118.50/x
  3. Step 3: Cross multiply
    24,331.50x = 46,118.50 × 46,118.50
  4. Step 4: Simplify right side
    24,331.50x = 2,126,916,042.25
  5. Step 5: Solve for x
    x = 2,126,916,042.25/24,331.50
  6. Step 6: Final answer
    x = 87,414.09

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.