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Finding the Third Proportional to 36,169 and 57,554

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Solution

The third proportional to 36,169 and 57,554 is: 91,582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,169 : 57,554 = 57,554 : x
  2. Step 2: Convert to fraction form
    36,169/57,554 = 57,554/x
  3. Step 3: Cross multiply
    36,169x = 57,554 × 57,554
  4. Step 4: Simplify right side
    36,169x = 3,312,462,916
  5. Step 5: Solve for x
    x = 3,312,462,916/36,169
  6. Step 6: Final answer
    x = 91,582.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.