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Finding the Third Proportional to 21,138.75 and 32,502.94

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Solution

The third proportional to 21,138.75 and 32,502.94 is: 49,976.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,138.75 : 32,502.94 = 32,502.94 : x
  2. Step 2: Convert to fraction form
    21,138.75/32,502.94 = 32,502.94/x
  3. Step 3: Cross multiply
    21,138.75x = 32,502.94 × 32,502.94
  4. Step 4: Simplify right side
    21,138.75x = 1,056,440,946.13
  5. Step 5: Solve for x
    x = 1,056,440,946.13/21,138.75
  6. Step 6: Final answer
    x = 49,976.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.