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Finding the Third Proportional to 10,513.55 and 22,997.67

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Solution

The third proportional to 10,513.55 and 22,997.67 is: 50,305.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.55 : 22,997.67 = 22,997.67 : x
  2. Step 2: Convert to fraction form
    10,513.55/22,997.67 = 22,997.67/x
  3. Step 3: Cross multiply
    10,513.55x = 22,997.67 × 22,997.67
  4. Step 4: Simplify right side
    10,513.55x = 528,892,911.67
  5. Step 5: Solve for x
    x = 528,892,911.67/10,513.55
  6. Step 6: Final answer
    x = 50,305.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.