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Finding the Third Proportional to 12,147 and 17,788.50

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Solution

The third proportional to 12,147 and 17,788.50 is: 26,050.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147 : 17,788.50 = 17,788.50 : x
  2. Step 2: Convert to fraction form
    12,147/17,788.50 = 17,788.50/x
  3. Step 3: Cross multiply
    12,147x = 17,788.50 × 17,788.50
  4. Step 4: Simplify right side
    12,147x = 316,430,732.25
  5. Step 5: Solve for x
    x = 316,430,732.25/12,147
  6. Step 6: Final answer
    x = 26,050.11

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.