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Finding the Third Proportional to 6,885.02 and 9,289.49

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Solution

The third proportional to 6,885.02 and 9,289.49 is: 12,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.02 : 9,289.49 = 9,289.49 : x
  2. Step 2: Convert to fraction form
    6,885.02/9,289.49 = 9,289.49/x
  3. Step 3: Cross multiply
    6,885.02x = 9,289.49 × 9,289.49
  4. Step 4: Simplify right side
    6,885.02x = 86,294,701.39
  5. Step 5: Solve for x
    x = 86,294,701.39/6,885.02
  6. Step 6: Final answer
    x = 12,533.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.