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Finding the Third Proportional to 6,827.63 and 9,866.81

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Solution

The third proportional to 6,827.63 and 9,866.81 is: 14,258.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.63 : 9,866.81 = 9,866.81 : x
  2. Step 2: Convert to fraction form
    6,827.63/9,866.81 = 9,866.81/x
  3. Step 3: Cross multiply
    6,827.63x = 9,866.81 × 9,866.81
  4. Step 4: Simplify right side
    6,827.63x = 97,353,988.91
  5. Step 5: Solve for x
    x = 97,353,988.91/6,827.63
  6. Step 6: Final answer
    x = 14,258.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.