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Finding the Third Proportional to 21,223.13 and 32,295.75

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Solution

The third proportional to 21,223.13 and 32,295.75 is: 49,145.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,223.13 : 32,295.75 = 32,295.75 : x
  2. Step 2: Convert to fraction form
    21,223.13/32,295.75 = 32,295.75/x
  3. Step 3: Cross multiply
    21,223.13x = 32,295.75 × 32,295.75
  4. Step 4: Simplify right side
    21,223.13x = 1,043,015,468.06
  5. Step 5: Solve for x
    x = 1,043,015,468.06/21,223.13
  6. Step 6: Final answer
    x = 49,145.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.