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Finding the Third Proportional to 6,522.19 and 9,316.69

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Solution

The third proportional to 6,522.19 and 9,316.69 is: 13,308.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.19 : 9,316.69 = 9,316.69 : x
  2. Step 2: Convert to fraction form
    6,522.19/9,316.69 = 9,316.69/x
  3. Step 3: Cross multiply
    6,522.19x = 9,316.69 × 9,316.69
  4. Step 4: Simplify right side
    6,522.19x = 86,800,665.97
  5. Step 5: Solve for x
    x = 86,800,665.97/6,522.19
  6. Step 6: Final answer
    x = 13,308.52

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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.