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Finding the Third Proportional to 5,830.88 and 9,455.06

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Solution

The third proportional to 5,830.88 and 9,455.06 is: 15,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.88 : 9,455.06 = 9,455.06 : x
  2. Step 2: Convert to fraction form
    5,830.88/9,455.06 = 9,455.06/x
  3. Step 3: Cross multiply
    5,830.88x = 9,455.06 × 9,455.06
  4. Step 4: Simplify right side
    5,830.88x = 89,398,206.88
  5. Step 5: Solve for x
    x = 89,398,206.88/5,830.88
  6. Step 6: Final answer
    x = 15,331.87

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.