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Finding the Third Proportional to 26,683 and 61,766.50

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Solution

The third proportional to 26,683 and 61,766.50 is: 142,978.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,683 : 61,766.50 = 61,766.50 : x
  2. Step 2: Convert to fraction form
    26,683/61,766.50 = 61,766.50/x
  3. Step 3: Cross multiply
    26,683x = 61,766.50 × 61,766.50
  4. Step 4: Simplify right side
    26,683x = 3,815,100,522.25
  5. Step 5: Solve for x
    x = 3,815,100,522.25/26,683
  6. Step 6: Final answer
    x = 142,978.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.