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Finding the Third Proportional to 26,273 and 39,416

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Solution

The third proportional to 26,273 and 39,416 is: 59,133.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,273 : 39,416 = 39,416 : x
  2. Step 2: Convert to fraction form
    26,273/39,416 = 39,416/x
  3. Step 3: Cross multiply
    26,273x = 39,416 × 39,416
  4. Step 4: Simplify right side
    26,273x = 1,553,621,056
  5. Step 5: Solve for x
    x = 1,553,621,056/26,273
  6. Step 6: Final answer
    x = 59,133.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.