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Finding the Third Proportional to 7,263.75 and 10,867.13

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Solution

The third proportional to 7,263.75 and 10,867.13 is: 16,258.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.75 : 10,867.13 = 10,867.13 : x
  2. Step 2: Convert to fraction form
    7,263.75/10,867.13 = 10,867.13/x
  3. Step 3: Cross multiply
    7,263.75x = 10,867.13 × 10,867.13
  4. Step 4: Simplify right side
    7,263.75x = 118,094,405.77
  5. Step 5: Solve for x
    x = 118,094,405.77/7,263.75
  6. Step 6: Final answer
    x = 16,258.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.