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Finding the Third Proportional to 6,817 and 14,711.50

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Solution

The third proportional to 6,817 and 14,711.50 is: 31,748.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,817 : 14,711.50 = 14,711.50 : x
  2. Step 2: Convert to fraction form
    6,817/14,711.50 = 14,711.50/x
  3. Step 3: Cross multiply
    6,817x = 14,711.50 × 14,711.50
  4. Step 4: Simplify right side
    6,817x = 216,428,232.25
  5. Step 5: Solve for x
    x = 216,428,232.25/6,817
  6. Step 6: Final answer
    x = 31,748.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.