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Finding the Third Proportional to 32,753.25 and 46,109.25

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Solution

The third proportional to 32,753.25 and 46,109.25 is: 64,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753.25 : 46,109.25 = 46,109.25 : x
  2. Step 2: Convert to fraction form
    32,753.25/46,109.25 = 46,109.25/x
  3. Step 3: Cross multiply
    32,753.25x = 46,109.25 × 46,109.25
  4. Step 4: Simplify right side
    32,753.25x = 2,126,062,935.56
  5. Step 5: Solve for x
    x = 2,126,062,935.56/32,753.25
  6. Step 6: Final answer
    x = 64,911.51

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.