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Finding the Third Proportional to 27,526 and 43,745

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Solution

The third proportional to 27,526 and 43,745 is: 69,520.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,526 : 43,745 = 43,745 : x
  2. Step 2: Convert to fraction form
    27,526/43,745 = 43,745/x
  3. Step 3: Cross multiply
    27,526x = 43,745 × 43,745
  4. Step 4: Simplify right side
    27,526x = 1,913,625,025
  5. Step 5: Solve for x
    x = 1,913,625,025/27,526
  6. Step 6: Final answer
    x = 69,520.64

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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.