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Finding the Third Proportional to 21,131.16 and 32,702.77

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Solution

The third proportional to 21,131.16 and 32,702.77 is: 50,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,131.16 : 32,702.77 = 32,702.77 : x
  2. Step 2: Convert to fraction form
    21,131.16/32,702.77 = 32,702.77/x
  3. Step 3: Cross multiply
    21,131.16x = 32,702.77 × 32,702.77
  4. Step 4: Simplify right side
    21,131.16x = 1,069,470,879.52
  5. Step 5: Solve for x
    x = 1,069,470,879.52/21,131.16
  6. Step 6: Final answer
    x = 50,611.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.