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Finding the Third Proportional to 16,864 and 24,749.50

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Solution

The third proportional to 16,864 and 24,749.50 is: 36,322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,864 : 24,749.50 = 24,749.50 : x
  2. Step 2: Convert to fraction form
    16,864/24,749.50 = 24,749.50/x
  3. Step 3: Cross multiply
    16,864x = 24,749.50 × 24,749.50
  4. Step 4: Simplify right side
    16,864x = 612,537,750.25
  5. Step 5: Solve for x
    x = 612,537,750.25/16,864
  6. Step 6: Final answer
    x = 36,322.21

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Why These Related Problems?

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