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Finding the Third Proportional to 32,169.19 and 46,408.50

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Solution

The third proportional to 32,169.19 and 46,408.50 is: 66,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169.19 : 46,408.50 = 46,408.50 : x
  2. Step 2: Convert to fraction form
    32,169.19/46,408.50 = 46,408.50/x
  3. Step 3: Cross multiply
    32,169.19x = 46,408.50 × 46,408.50
  4. Step 4: Simplify right side
    32,169.19x = 2,153,748,872.25
  5. Step 5: Solve for x
    x = 2,153,748,872.25/32,169.19
  6. Step 6: Final answer
    x = 66,950.68

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.