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Finding the Third Proportional to 6,465.38 and 9,320.63

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Solution

The third proportional to 6,465.38 and 9,320.63 is: 13,436.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.38 : 9,320.63 = 9,320.63 : x
  2. Step 2: Convert to fraction form
    6,465.38/9,320.63 = 9,320.63/x
  3. Step 3: Cross multiply
    6,465.38x = 9,320.63 × 9,320.63
  4. Step 4: Simplify right side
    6,465.38x = 86,874,050.39
  5. Step 5: Solve for x
    x = 86,874,050.39/6,465.38
  6. Step 6: Final answer
    x = 13,436.82

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.