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Finding the Third Proportional to 4,745.04 and 10,219.08

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Solution

The third proportional to 4,745.04 and 10,219.08 is: 22,008.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.04 : 10,219.08 = 10,219.08 : x
  2. Step 2: Convert to fraction form
    4,745.04/10,219.08 = 10,219.08/x
  3. Step 3: Cross multiply
    4,745.04x = 10,219.08 × 10,219.08
  4. Step 4: Simplify right side
    4,745.04x = 104,429,557.72
  5. Step 5: Solve for x
    x = 104,429,557.72/4,745.04
  6. Step 6: Final answer
    x = 22,008.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.