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Finding the Third Proportional to 26,281 and 56,450

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Solution

The third proportional to 26,281 and 56,450 is: 121,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,281 : 56,450 = 56,450 : x
  2. Step 2: Convert to fraction form
    26,281/56,450 = 56,450/x
  3. Step 3: Cross multiply
    26,281x = 56,450 × 56,450
  4. Step 4: Simplify right side
    26,281x = 3,186,602,500
  5. Step 5: Solve for x
    x = 3,186,602,500/26,281
  6. Step 6: Final answer
    x = 121,251.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.