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Finding the Third Proportional to 21,580.31 and 32,821.31

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Solution

The third proportional to 21,580.31 and 32,821.31 is: 49,917.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,580.31 : 32,821.31 = 32,821.31 : x
  2. Step 2: Convert to fraction form
    21,580.31/32,821.31 = 32,821.31/x
  3. Step 3: Cross multiply
    21,580.31x = 32,821.31 × 32,821.31
  4. Step 4: Simplify right side
    21,580.31x = 1,077,238,554.22
  5. Step 5: Solve for x
    x = 1,077,238,554.22/21,580.31
  6. Step 6: Final answer
    x = 49,917.65

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