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Finding the Third Proportional to 6,223.50 and 9,635.63

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Solution

The third proportional to 6,223.50 and 9,635.63 is: 14,918.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.50 : 9,635.63 = 9,635.63 : x
  2. Step 2: Convert to fraction form
    6,223.50/9,635.63 = 9,635.63/x
  3. Step 3: Cross multiply
    6,223.50x = 9,635.63 × 9,635.63
  4. Step 4: Simplify right side
    6,223.50x = 92,845,269.14
  5. Step 5: Solve for x
    x = 92,845,269.14/6,223.50
  6. Step 6: Final answer
    x = 14,918.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.