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Finding the Third Proportional to 11,244 and 16,501.50

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Solution

The third proportional to 11,244 and 16,501.50 is: 24,217.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,244 : 16,501.50 = 16,501.50 : x
  2. Step 2: Convert to fraction form
    11,244/16,501.50 = 16,501.50/x
  3. Step 3: Cross multiply
    11,244x = 16,501.50 × 16,501.50
  4. Step 4: Simplify right side
    11,244x = 272,299,502.25
  5. Step 5: Solve for x
    x = 272,299,502.25/11,244
  6. Step 6: Final answer
    x = 24,217.32

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.