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Finding the Third Proportional to 32,907 and 44,986.50

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Solution

The third proportional to 32,907 and 44,986.50 is: 61,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,907 : 44,986.50 = 44,986.50 : x
  2. Step 2: Convert to fraction form
    32,907/44,986.50 = 44,986.50/x
  3. Step 3: Cross multiply
    32,907x = 44,986.50 × 44,986.50
  4. Step 4: Simplify right side
    32,907x = 2,023,785,182.25
  5. Step 5: Solve for x
    x = 2,023,785,182.25/32,907
  6. Step 6: Final answer
    x = 61,500.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.