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Finding the Third Proportional to 5,570.44 and 7,425.42

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Solution

The third proportional to 5,570.44 and 7,425.42 is: 9,898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.44 : 7,425.42 = 7,425.42 : x
  2. Step 2: Convert to fraction form
    5,570.44/7,425.42 = 7,425.42/x
  3. Step 3: Cross multiply
    5,570.44x = 7,425.42 × 7,425.42
  4. Step 4: Simplify right side
    5,570.44x = 55,136,890.02
  5. Step 5: Solve for x
    x = 55,136,890.02/5,570.44
  6. Step 6: Final answer
    x = 9,898.13

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Why These Related Problems?

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