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Finding the Third Proportional to 6,763.50 and 14,747.06

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Solution

The third proportional to 6,763.50 and 14,747.06 is: 32,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.50 : 14,747.06 = 14,747.06 : x
  2. Step 2: Convert to fraction form
    6,763.50/14,747.06 = 14,747.06/x
  3. Step 3: Cross multiply
    6,763.50x = 14,747.06 × 14,747.06
  4. Step 4: Simplify right side
    6,763.50x = 217,475,852.38
  5. Step 5: Solve for x
    x = 217,475,852.38/6,763.50
  6. Step 6: Final answer
    x = 32,154.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.