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Finding the Third Proportional to 10,329.61 and 22,157.72

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Solution

The third proportional to 10,329.61 and 22,157.72 is: 47,529.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,329.61 : 22,157.72 = 22,157.72 : x
  2. Step 2: Convert to fraction form
    10,329.61/22,157.72 = 22,157.72/x
  3. Step 3: Cross multiply
    10,329.61x = 22,157.72 × 22,157.72
  4. Step 4: Simplify right side
    10,329.61x = 490,964,500.20
  5. Step 5: Solve for x
    x = 490,964,500.20/10,329.61
  6. Step 6: Final answer
    x = 47,529.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.