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Finding the Third Proportional to 33,807.38 and 66,430.13

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Solution

The third proportional to 33,807.38 and 66,430.13 is: 130,532.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,807.38 : 66,430.13 = 66,430.13 : x
  2. Step 2: Convert to fraction form
    33,807.38/66,430.13 = 66,430.13/x
  3. Step 3: Cross multiply
    33,807.38x = 66,430.13 × 66,430.13
  4. Step 4: Simplify right side
    33,807.38x = 4,412,961,507.52
  5. Step 5: Solve for x
    x = 4,412,961,507.52/33,807.38
  6. Step 6: Final answer
    x = 130,532.51

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These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.