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Finding the Third Proportional to 29,932.50 and 39,941.06

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Solution

The third proportional to 29,932.50 and 39,941.06 is: 53,296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,932.50 : 39,941.06 = 39,941.06 : x
  2. Step 2: Convert to fraction form
    29,932.50/39,941.06 = 39,941.06/x
  3. Step 3: Cross multiply
    29,932.50x = 39,941.06 × 39,941.06
  4. Step 4: Simplify right side
    29,932.50x = 1,595,288,473.63
  5. Step 5: Solve for x
    x = 1,595,288,473.63/29,932.50
  6. Step 6: Final answer
    x = 53,296.20

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.