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Finding the Third Proportional to 26,376 and 62,263.50

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Solution

The third proportional to 26,376 and 62,263.50 is: 146,979.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,376 : 62,263.50 = 62,263.50 : x
  2. Step 2: Convert to fraction form
    26,376/62,263.50 = 62,263.50/x
  3. Step 3: Cross multiply
    26,376x = 62,263.50 × 62,263.50
  4. Step 4: Simplify right side
    26,376x = 3,876,743,432.25
  5. Step 5: Solve for x
    x = 3,876,743,432.25/26,376
  6. Step 6: Final answer
    x = 146,979.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.