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Finding the Third Proportional to 3,513.38 and 5,457.38

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Solution

The third proportional to 3,513.38 and 5,457.38 is: 8,477.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.38 : 5,457.38 = 5,457.38 : x
  2. Step 2: Convert to fraction form
    3,513.38/5,457.38 = 5,457.38/x
  3. Step 3: Cross multiply
    3,513.38x = 5,457.38 × 5,457.38
  4. Step 4: Simplify right side
    3,513.38x = 29,782,941.89
  5. Step 5: Solve for x
    x = 29,782,941.89/3,513.38
  6. Step 6: Final answer
    x = 8,477.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.