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Finding the Third Proportional to 4,402.13 and 9,620.63

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Solution

The third proportional to 4,402.13 and 9,620.63 is: 21,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402.13 : 9,620.63 = 9,620.63 : x
  2. Step 2: Convert to fraction form
    4,402.13/9,620.63 = 9,620.63/x
  3. Step 3: Cross multiply
    4,402.13x = 9,620.63 × 9,620.63
  4. Step 4: Simplify right side
    4,402.13x = 92,556,425.39
  5. Step 5: Solve for x
    x = 92,556,425.39/4,402.13
  6. Step 6: Final answer
    x = 21,025.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.