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Finding the Third Proportional to 35,857.13 and 52,516.69

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Solution

The third proportional to 35,857.13 and 52,516.69 is: 76,916.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,857.13 : 52,516.69 = 52,516.69 : x
  2. Step 2: Convert to fraction form
    35,857.13/52,516.69 = 52,516.69/x
  3. Step 3: Cross multiply
    35,857.13x = 52,516.69 × 52,516.69
  4. Step 4: Simplify right side
    35,857.13x = 2,758,002,465.97
  5. Step 5: Solve for x
    x = 2,758,002,465.97/35,857.13
  6. Step 6: Final answer
    x = 76,916.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.