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Finding the Third Proportional to 21,163.78 and 46,485.14

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Solution

The third proportional to 21,163.78 and 46,485.14 is: 102,102.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,163.78 : 46,485.14 = 46,485.14 : x
  2. Step 2: Convert to fraction form
    21,163.78/46,485.14 = 46,485.14/x
  3. Step 3: Cross multiply
    21,163.78x = 46,485.14 × 46,485.14
  4. Step 4: Simplify right side
    21,163.78x = 2,160,868,298.93
  5. Step 5: Solve for x
    x = 2,160,868,298.93/21,163.78
  6. Step 6: Final answer
    x = 102,102.18

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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.