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Finding the Third Proportional to 9,465.47 and 20,650.22

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Solution

The third proportional to 9,465.47 and 20,650.22 is: 45,051.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.47 : 20,650.22 = 20,650.22 : x
  2. Step 2: Convert to fraction form
    9,465.47/20,650.22 = 20,650.22/x
  3. Step 3: Cross multiply
    9,465.47x = 20,650.22 × 20,650.22
  4. Step 4: Simplify right side
    9,465.47x = 426,431,534.42
  5. Step 5: Solve for x
    x = 426,431,534.42/9,465.47
  6. Step 6: Final answer
    x = 45,051.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.