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Finding the Third Proportional to 10,646.44 and 22,165.88

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Solution

The third proportional to 10,646.44 and 22,165.88 is: 46,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.44 : 22,165.88 = 22,165.88 : x
  2. Step 2: Convert to fraction form
    10,646.44/22,165.88 = 22,165.88/x
  3. Step 3: Cross multiply
    10,646.44x = 22,165.88 × 22,165.88
  4. Step 4: Simplify right side
    10,646.44x = 491,326,014.52
  5. Step 5: Solve for x
    x = 491,326,014.52/10,646.44
  6. Step 6: Final answer
    x = 46,149.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.