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Finding the Third Proportional to 40,146.19 and 57,736.13

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Solution

The third proportional to 40,146.19 and 57,736.13 is: 83,033.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,146.19 : 57,736.13 = 57,736.13 : x
  2. Step 2: Convert to fraction form
    40,146.19/57,736.13 = 57,736.13/x
  3. Step 3: Cross multiply
    40,146.19x = 57,736.13 × 57,736.13
  4. Step 4: Simplify right side
    40,146.19x = 3,333,460,130.02
  5. Step 5: Solve for x
    x = 3,333,460,130.02/40,146.19
  6. Step 6: Final answer
    x = 83,033.04

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.