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Finding the Third Proportional to 35,667 and 53,389.13

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Solution

The third proportional to 35,667 and 53,389.13 is: 79,916.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,667 : 53,389.13 = 53,389.13 : x
  2. Step 2: Convert to fraction form
    35,667/53,389.13 = 53,389.13/x
  3. Step 3: Cross multiply
    35,667x = 53,389.13 × 53,389.13
  4. Step 4: Simplify right side
    35,667x = 2,850,398,668.27
  5. Step 5: Solve for x
    x = 2,850,398,668.27/35,667
  6. Step 6: Final answer
    x = 79,916.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.