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Finding the Third Proportional to 29,529.75 and 39,783.38

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Solution

The third proportional to 29,529.75 and 39,783.38 is: 53,597.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,529.75 : 39,783.38 = 39,783.38 : x
  2. Step 2: Convert to fraction form
    29,529.75/39,783.38 = 39,783.38/x
  3. Step 3: Cross multiply
    29,529.75x = 39,783.38 × 39,783.38
  4. Step 4: Simplify right side
    29,529.75x = 1,582,716,926.39
  5. Step 5: Solve for x
    x = 1,582,716,926.39/29,529.75
  6. Step 6: Final answer
    x = 53,597.37

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.