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Finding the Third Proportional to 10,400.63 and 22,441.38

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Solution

The third proportional to 10,400.63 and 22,441.38 is: 48,421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,400.63 : 22,441.38 = 22,441.38 : x
  2. Step 2: Convert to fraction form
    10,400.63/22,441.38 = 22,441.38/x
  3. Step 3: Cross multiply
    10,400.63x = 22,441.38 × 22,441.38
  4. Step 4: Simplify right side
    10,400.63x = 503,615,311.89
  5. Step 5: Solve for x
    x = 503,615,311.89/10,400.63
  6. Step 6: Final answer
    x = 48,421.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.