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Finding the Third Proportional to 4,677.75 and 10,297.13

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Solution

The third proportional to 4,677.75 and 10,297.13 is: 22,667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.75 : 10,297.13 = 10,297.13 : x
  2. Step 2: Convert to fraction form
    4,677.75/10,297.13 = 10,297.13/x
  3. Step 3: Cross multiply
    4,677.75x = 10,297.13 × 10,297.13
  4. Step 4: Simplify right side
    4,677.75x = 106,030,783.27
  5. Step 5: Solve for x
    x = 106,030,783.27/4,677.75
  6. Step 6: Final answer
    x = 22,667.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.