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Finding the Third Proportional to 32,005.13 and 46,387.69

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Solution

The third proportional to 32,005.13 and 46,387.69 is: 67,233.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.13 : 46,387.69 = 46,387.69 : x
  2. Step 2: Convert to fraction form
    32,005.13/46,387.69 = 46,387.69/x
  3. Step 3: Cross multiply
    32,005.13x = 46,387.69 × 46,387.69
  4. Step 4: Simplify right side
    32,005.13x = 2,151,817,551.60
  5. Step 5: Solve for x
    x = 2,151,817,551.60/32,005.13
  6. Step 6: Final answer
    x = 67,233.53

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.