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Finding the Third Proportional to 3,130.88 and 7,329.38

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Solution

The third proportional to 3,130.88 and 7,329.38 is: 17,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,130.88 : 7,329.38 = 7,329.38 : x
  2. Step 2: Convert to fraction form
    3,130.88/7,329.38 = 7,329.38/x
  3. Step 3: Cross multiply
    3,130.88x = 7,329.38 × 7,329.38
  4. Step 4: Simplify right side
    3,130.88x = 53,719,737.89
  5. Step 5: Solve for x
    x = 53,719,737.89/3,130.88
  6. Step 6: Final answer
    x = 17,158.06

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.