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Finding the Third Proportional to 20,763 and 32,950.13

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Solution

The third proportional to 20,763 and 32,950.13 is: 52,290.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,763 : 32,950.13 = 32,950.13 : x
  2. Step 2: Convert to fraction form
    20,763/32,950.13 = 32,950.13/x
  3. Step 3: Cross multiply
    20,763x = 32,950.13 × 32,950.13
  4. Step 4: Simplify right side
    20,763x = 1,085,710,737.52
  5. Step 5: Solve for x
    x = 1,085,710,737.52/20,763
  6. Step 6: Final answer
    x = 52,290.65

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.