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Finding the Third Proportional to 6,498.94 and 9,885.19

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Solution

The third proportional to 6,498.94 and 9,885.19 is: 15,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498.94 : 9,885.19 = 9,885.19 : x
  2. Step 2: Convert to fraction form
    6,498.94/9,885.19 = 9,885.19/x
  3. Step 3: Cross multiply
    6,498.94x = 9,885.19 × 9,885.19
  4. Step 4: Simplify right side
    6,498.94x = 97,716,931.91
  5. Step 5: Solve for x
    x = 97,716,931.91/6,498.94
  6. Step 6: Final answer
    x = 15,035.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.