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Finding the Third Proportional to 10,447.31 and 22,352.63

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Solution

The third proportional to 10,447.31 and 22,352.63 is: 47,824.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.31 : 22,352.63 = 22,352.63 : x
  2. Step 2: Convert to fraction form
    10,447.31/22,352.63 = 22,352.63/x
  3. Step 3: Cross multiply
    10,447.31x = 22,352.63 × 22,352.63
  4. Step 4: Simplify right side
    10,447.31x = 499,639,844.39
  5. Step 5: Solve for x
    x = 499,639,844.39/10,447.31
  6. Step 6: Final answer
    x = 47,824.72

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1.5x scale

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.