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Finding the Third Proportional to 4,877.30 and 10,362.09

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Solution

The third proportional to 4,877.30 and 10,362.09 is: 22,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.30 : 10,362.09 = 10,362.09 : x
  2. Step 2: Convert to fraction form
    4,877.30/10,362.09 = 10,362.09/x
  3. Step 3: Cross multiply
    4,877.30x = 10,362.09 × 10,362.09
  4. Step 4: Simplify right side
    4,877.30x = 107,372,986.88
  5. Step 5: Solve for x
    x = 107,372,986.88/4,877.30
  6. Step 6: Final answer
    x = 22,014.86

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.