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Finding the Third Proportional to 39,196.13 and 57,152.25

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Solution

The third proportional to 39,196.13 and 57,152.25 is: 83,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,196.13 : 57,152.25 = 57,152.25 : x
  2. Step 2: Convert to fraction form
    39,196.13/57,152.25 = 57,152.25/x
  3. Step 3: Cross multiply
    39,196.13x = 57,152.25 × 57,152.25
  4. Step 4: Simplify right side
    39,196.13x = 3,266,379,680.06
  5. Step 5: Solve for x
    x = 3,266,379,680.06/39,196.13
  6. Step 6: Final answer
    x = 83,334.25

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.