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Finding the Third Proportional to 35,736.19 and 51,283.13

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Solution

The third proportional to 35,736.19 and 51,283.13 is: 73,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,736.19 : 51,283.13 = 51,283.13 : x
  2. Step 2: Convert to fraction form
    35,736.19/51,283.13 = 51,283.13/x
  3. Step 3: Cross multiply
    35,736.19x = 51,283.13 × 51,283.13
  4. Step 4: Simplify right side
    35,736.19x = 2,629,958,909.77
  5. Step 5: Solve for x
    x = 2,629,958,909.77/35,736.19
  6. Step 6: Final answer
    x = 73,593.72

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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.