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Finding the Third Proportional to 39,543.19 and 84,736.13

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Solution

The third proportional to 39,543.19 and 84,736.13 is: 181,578.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,543.19 : 84,736.13 = 84,736.13 : x
  2. Step 2: Convert to fraction form
    39,543.19/84,736.13 = 84,736.13/x
  3. Step 3: Cross multiply
    39,543.19x = 84,736.13 × 84,736.13
  4. Step 4: Simplify right side
    39,543.19x = 7,180,210,880.02
  5. Step 5: Solve for x
    x = 7,180,210,880.02/39,543.19
  6. Step 6: Final answer
    x = 181,578.96

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.