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Finding the Third Proportional to 4,691.50 and 10,111

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Solution

The third proportional to 4,691.50 and 10,111 is: 21,790.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.50 : 10,111 = 10,111 : x
  2. Step 2: Convert to fraction form
    4,691.50/10,111 = 10,111/x
  3. Step 3: Cross multiply
    4,691.50x = 10,111 × 10,111
  4. Step 4: Simplify right side
    4,691.50x = 102,232,321
  5. Step 5: Solve for x
    x = 102,232,321/4,691.50
  6. Step 6: Final answer
    x = 21,790.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.