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Finding the Third Proportional to 10,385.03 and 22,522.81

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Solution

The third proportional to 10,385.03 and 22,522.81 is: 48,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.03 : 22,522.81 = 22,522.81 : x
  2. Step 2: Convert to fraction form
    10,385.03/22,522.81 = 22,522.81/x
  3. Step 3: Cross multiply
    10,385.03x = 22,522.81 × 22,522.81
  4. Step 4: Simplify right side
    10,385.03x = 507,277,082.91
  5. Step 5: Solve for x
    x = 507,277,082.91/10,385.03
  6. Step 6: Final answer
    x = 48,846.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.