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Finding the Third Proportional to 32,311.88 and 46,538.81

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Solution

The third proportional to 32,311.88 and 46,538.81 is: 67,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,311.88 : 46,538.81 = 46,538.81 : x
  2. Step 2: Convert to fraction form
    32,311.88/46,538.81 = 46,538.81/x
  3. Step 3: Cross multiply
    32,311.88x = 46,538.81 × 46,538.81
  4. Step 4: Simplify right side
    32,311.88x = 2,165,861,068.91
  5. Step 5: Solve for x
    x = 2,165,861,068.91/32,311.88
  6. Step 6: Final answer
    x = 67,029.88

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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.