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Finding the Third Proportional to 7,506.42 and 15,936.91

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Solution

The third proportional to 7,506.42 and 15,936.91 is: 33,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.42 : 15,936.91 = 15,936.91 : x
  2. Step 2: Convert to fraction form
    7,506.42/15,936.91 = 15,936.91/x
  3. Step 3: Cross multiply
    7,506.42x = 15,936.91 × 15,936.91
  4. Step 4: Simplify right side
    7,506.42x = 253,985,043.07
  5. Step 5: Solve for x
    x = 253,985,043.07/7,506.42
  6. Step 6: Final answer
    x = 33,835.70

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.