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Finding the Third Proportional to 35,008.31 and 52,283.81

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Solution

The third proportional to 35,008.31 and 52,283.81 is: 78,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,008.31 : 52,283.81 = 52,283.81 : x
  2. Step 2: Convert to fraction form
    35,008.31/52,283.81 = 52,283.81/x
  3. Step 3: Cross multiply
    35,008.31x = 52,283.81 × 52,283.81
  4. Step 4: Simplify right side
    35,008.31x = 2,733,597,049.54
  5. Step 5: Solve for x
    x = 2,733,597,049.54/35,008.31
  6. Step 6: Final answer
    x = 78,084.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.