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Finding the Third Proportional to 26,450 and 42,527

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Solution

The third proportional to 26,450 and 42,527 is: 68,376.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,450 : 42,527 = 42,527 : x
  2. Step 2: Convert to fraction form
    26,450/42,527 = 42,527/x
  3. Step 3: Cross multiply
    26,450x = 42,527 × 42,527
  4. Step 4: Simplify right side
    26,450x = 1,808,545,729
  5. Step 5: Solve for x
    x = 1,808,545,729/26,450
  6. Step 6: Final answer
    x = 68,376.02

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.