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Finding the Third Proportional to 10,700.23 and 22,884.40

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Solution

The third proportional to 10,700.23 and 22,884.40 is: 48,942.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.23 : 22,884.40 = 22,884.40 : x
  2. Step 2: Convert to fraction form
    10,700.23/22,884.40 = 22,884.40/x
  3. Step 3: Cross multiply
    10,700.23x = 22,884.40 × 22,884.40
  4. Step 4: Simplify right side
    10,700.23x = 523,695,691.85
  5. Step 5: Solve for x
    x = 523,695,691.85/10,700.23
  6. Step 6: Final answer
    x = 48,942.49

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