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Finding the Third Proportional to 6,503 and 9,813.50

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Solution

The third proportional to 6,503 and 9,813.50 is: 14,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503 : 9,813.50 = 9,813.50 : x
  2. Step 2: Convert to fraction form
    6,503/9,813.50 = 9,813.50/x
  3. Step 3: Cross multiply
    6,503x = 9,813.50 × 9,813.50
  4. Step 4: Simplify right side
    6,503x = 96,304,782.25
  5. Step 5: Solve for x
    x = 96,304,782.25/6,503
  6. Step 6: Final answer
    x = 14,809.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.