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Finding the Third Proportional to 32,136.25 and 49,426.25

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Solution

The third proportional to 32,136.25 and 49,426.25 is: 76,018.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,136.25 : 49,426.25 = 49,426.25 : x
  2. Step 2: Convert to fraction form
    32,136.25/49,426.25 = 49,426.25/x
  3. Step 3: Cross multiply
    32,136.25x = 49,426.25 × 49,426.25
  4. Step 4: Simplify right side
    32,136.25x = 2,442,954,189.06
  5. Step 5: Solve for x
    x = 2,442,954,189.06/32,136.25
  6. Step 6: Final answer
    x = 76,018.65

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.