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Finding the Third Proportional to 7,773.75 and 18,487.13

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Solution

The third proportional to 7,773.75 and 18,487.13 is: 43,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.75 : 18,487.13 = 18,487.13 : x
  2. Step 2: Convert to fraction form
    7,773.75/18,487.13 = 18,487.13/x
  3. Step 3: Cross multiply
    7,773.75x = 18,487.13 × 18,487.13
  4. Step 4: Simplify right side
    7,773.75x = 341,773,790.77
  5. Step 5: Solve for x
    x = 341,773,790.77/7,773.75
  6. Step 6: Final answer
    x = 43,965.11

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.