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Finding the Third Proportional to 6,703.50 and 18,084

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Solution

The third proportional to 6,703.50 and 18,084 is: 48,785.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.50 : 18,084 = 18,084 : x
  2. Step 2: Convert to fraction form
    6,703.50/18,084 = 18,084/x
  3. Step 3: Cross multiply
    6,703.50x = 18,084 × 18,084
  4. Step 4: Simplify right side
    6,703.50x = 327,031,056
  5. Step 5: Solve for x
    x = 327,031,056/6,703.50
  6. Step 6: Final answer
    x = 48,785.12

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.