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Finding the Third Proportional to 8,865.75 and 13,123.38

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Solution

The third proportional to 8,865.75 and 13,123.38 is: 19,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,865.75 : 13,123.38 = 13,123.38 : x
  2. Step 2: Convert to fraction form
    8,865.75/13,123.38 = 13,123.38/x
  3. Step 3: Cross multiply
    8,865.75x = 13,123.38 × 13,123.38
  4. Step 4: Simplify right side
    8,865.75x = 172,222,971.39
  5. Step 5: Solve for x
    x = 172,222,971.39/8,865.75
  6. Step 6: Final answer
    x = 19,425.65

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.