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Finding the Third Proportional to 27,535 and 43,764

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Solution

The third proportional to 27,535 and 43,764 is: 69,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,535 : 43,764 = 43,764 : x
  2. Step 2: Convert to fraction form
    27,535/43,764 = 43,764/x
  3. Step 3: Cross multiply
    27,535x = 43,764 × 43,764
  4. Step 4: Simplify right side
    27,535x = 1,915,287,696
  5. Step 5: Solve for x
    x = 1,915,287,696/27,535
  6. Step 6: Final answer
    x = 69,558.30

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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.