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Finding the Third Proportional to 21,543.47 and 32,770.83

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Solution

The third proportional to 21,543.47 and 32,770.83 is: 49,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,543.47 : 32,770.83 = 32,770.83 : x
  2. Step 2: Convert to fraction form
    21,543.47/32,770.83 = 32,770.83/x
  3. Step 3: Cross multiply
    21,543.47x = 32,770.83 × 32,770.83
  4. Step 4: Simplify right side
    21,543.47x = 1,073,927,176.00
  5. Step 5: Solve for x
    x = 1,073,927,176.00/21,543.47
  6. Step 6: Final answer
    x = 49,849.32

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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.