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Finding the Third Proportional to 6,357.50 and 13,296.25

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Solution

The third proportional to 6,357.50 and 13,296.25 is: 27,808.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.50 : 13,296.25 = 13,296.25 : x
  2. Step 2: Convert to fraction form
    6,357.50/13,296.25 = 13,296.25/x
  3. Step 3: Cross multiply
    6,357.50x = 13,296.25 × 13,296.25
  4. Step 4: Simplify right side
    6,357.50x = 176,790,264.06
  5. Step 5: Solve for x
    x = 176,790,264.06/6,357.50
  6. Step 6: Final answer
    x = 27,808.14

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.