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Finding the Third Proportional to 6,207.38 and 13,303.50

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Solution

The third proportional to 6,207.38 and 13,303.50 is: 28,511.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.38 : 13,303.50 = 13,303.50 : x
  2. Step 2: Convert to fraction form
    6,207.38/13,303.50 = 13,303.50/x
  3. Step 3: Cross multiply
    6,207.38x = 13,303.50 × 13,303.50
  4. Step 4: Simplify right side
    6,207.38x = 176,983,112.25
  5. Step 5: Solve for x
    x = 176,983,112.25/6,207.38
  6. Step 6: Final answer
    x = 28,511.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.