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Finding the Third Proportional to 11,000.25 and 16,501.50

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Solution

The third proportional to 11,000.25 and 16,501.50 is: 24,753.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.25 : 16,501.50 = 16,501.50 : x
  2. Step 2: Convert to fraction form
    11,000.25/16,501.50 = 16,501.50/x
  3. Step 3: Cross multiply
    11,000.25x = 16,501.50 × 16,501.50
  4. Step 4: Simplify right side
    11,000.25x = 272,299,502.25
  5. Step 5: Solve for x
    x = 272,299,502.25/11,000.25
  6. Step 6: Final answer
    x = 24,753.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.