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Finding the Third Proportional to 6,322.13 and 9,503.63

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Solution

The third proportional to 6,322.13 and 9,503.63 is: 14,286.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.13 : 9,503.63 = 9,503.63 : x
  2. Step 2: Convert to fraction form
    6,322.13/9,503.63 = 9,503.63/x
  3. Step 3: Cross multiply
    6,322.13x = 9,503.63 × 9,503.63
  4. Step 4: Simplify right side
    6,322.13x = 90,318,888.14
  5. Step 5: Solve for x
    x = 90,318,888.14/6,322.13
  6. Step 6: Final answer
    x = 14,286.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.