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Finding the Third Proportional to 32,837 and 52,004.50

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Solution

The third proportional to 32,837 and 52,004.50 is: 82,360.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,837 : 52,004.50 = 52,004.50 : x
  2. Step 2: Convert to fraction form
    32,837/52,004.50 = 52,004.50/x
  3. Step 3: Cross multiply
    32,837x = 52,004.50 × 52,004.50
  4. Step 4: Simplify right side
    32,837x = 2,704,468,020.25
  5. Step 5: Solve for x
    x = 2,704,468,020.25/32,837
  6. Step 6: Final answer
    x = 82,360.39

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.