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Finding the Third Proportional to 32,151.94 and 51,356.53

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Solution

The third proportional to 32,151.94 and 51,356.53 is: 82,032.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,151.94 : 51,356.53 = 51,356.53 : x
  2. Step 2: Convert to fraction form
    32,151.94/51,356.53 = 51,356.53/x
  3. Step 3: Cross multiply
    32,151.94x = 51,356.53 × 51,356.53
  4. Step 4: Simplify right side
    32,151.94x = 2,637,493,302.03
  5. Step 5: Solve for x
    x = 2,637,493,302.03/32,151.94
  6. Step 6: Final answer
    x = 82,032.17

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.