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Finding the Third Proportional to 6,504.47 and 9,295.59

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Solution

The third proportional to 6,504.47 and 9,295.59 is: 13,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.47 : 9,295.59 = 9,295.59 : x
  2. Step 2: Convert to fraction form
    6,504.47/9,295.59 = 9,295.59/x
  3. Step 3: Cross multiply
    6,504.47x = 9,295.59 × 9,295.59
  4. Step 4: Simplify right side
    6,504.47x = 86,408,063.17
  5. Step 5: Solve for x
    x = 86,408,063.17/6,504.47
  6. Step 6: Final answer
    x = 13,284.42

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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.