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Finding the Third Proportional to 6,530.63 and 9,330.19

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Solution

The third proportional to 6,530.63 and 9,330.19 is: 13,329.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.63 : 9,330.19 = 9,330.19 : x
  2. Step 2: Convert to fraction form
    6,530.63/9,330.19 = 9,330.19/x
  3. Step 3: Cross multiply
    6,530.63x = 9,330.19 × 9,330.19
  4. Step 4: Simplify right side
    6,530.63x = 87,052,398.79
  5. Step 5: Solve for x
    x = 87,052,398.79/6,530.63
  6. Step 6: Final answer
    x = 13,329.87

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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.