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Finding the Third Proportional to 8,503.75 and 12,764.38

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Solution

The third proportional to 8,503.75 and 12,764.38 is: 19,159.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.75 : 12,764.38 = 12,764.38 : x
  2. Step 2: Convert to fraction form
    8,503.75/12,764.38 = 12,764.38/x
  3. Step 3: Cross multiply
    8,503.75x = 12,764.38 × 12,764.38
  4. Step 4: Simplify right side
    8,503.75x = 162,929,269.14
  5. Step 5: Solve for x
    x = 162,929,269.14/8,503.75
  6. Step 6: Final answer
    x = 19,159.70

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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.