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Finding the Third Proportional to 5,389.03 and 7,192.55

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Solution

The third proportional to 5,389.03 and 7,192.55 is: 9,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.03 : 7,192.55 = 7,192.55 : x
  2. Step 2: Convert to fraction form
    5,389.03/7,192.55 = 7,192.55/x
  3. Step 3: Cross multiply
    5,389.03x = 7,192.55 × 7,192.55
  4. Step 4: Simplify right side
    5,389.03x = 51,732,730.55
  5. Step 5: Solve for x
    x = 51,732,730.55/5,389.03
  6. Step 6: Final answer
    x = 9,599.63

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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.