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Finding the Third Proportional to 6,498.14 and 9,292.64

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Solution

The third proportional to 6,498.14 and 9,292.64 is: 13,288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.14 : 9,292.64 = 9,292.64 : x
  2. Step 2: Convert to fraction form
    6,498.14/9,292.64 = 9,292.64/x
  3. Step 3: Cross multiply
    6,498.14x = 9,292.64 × 9,292.64
  4. Step 4: Simplify right side
    6,498.14x = 86,353,169.79
  5. Step 5: Solve for x
    x = 86,353,169.79/6,498.14
  6. Step 6: Final answer
    x = 13,288.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.