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Finding the Third Proportional to 21,384 and 32,911.31

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Solution

The third proportional to 21,384 and 32,911.31 is: 50,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,384 : 32,911.31 = 32,911.31 : x
  2. Step 2: Convert to fraction form
    21,384/32,911.31 = 32,911.31/x
  3. Step 3: Cross multiply
    21,384x = 32,911.31 × 32,911.31
  4. Step 4: Simplify right side
    21,384x = 1,083,154,490.47
  5. Step 5: Solve for x
    x = 1,083,154,490.47/21,384
  6. Step 6: Final answer
    x = 50,652.57

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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.