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Finding the Third Proportional to 10,357.31 and 22,165.88

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Solution

The third proportional to 10,357.31 and 22,165.88 is: 47,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.31 : 22,165.88 = 22,165.88 : x
  2. Step 2: Convert to fraction form
    10,357.31/22,165.88 = 22,165.88/x
  3. Step 3: Cross multiply
    10,357.31x = 22,165.88 × 22,165.88
  4. Step 4: Simplify right side
    10,357.31x = 491,326,014.52
  5. Step 5: Solve for x
    x = 491,326,014.52/10,357.31
  6. Step 6: Final answer
    x = 47,437.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.