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Finding the Third Proportional to 6,303 and 11,107.50

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Solution

The third proportional to 6,303 and 11,107.50 is: 19,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303 : 11,107.50 = 11,107.50 : x
  2. Step 2: Convert to fraction form
    6,303/11,107.50 = 11,107.50/x
  3. Step 3: Cross multiply
    6,303x = 11,107.50 × 11,107.50
  4. Step 4: Simplify right side
    6,303x = 123,376,556.25
  5. Step 5: Solve for x
    x = 123,376,556.25/6,303
  6. Step 6: Final answer
    x = 19,574.26

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.