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Finding the Third Proportional to 6,095 and 14,373.50

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Solution

The third proportional to 6,095 and 14,373.50 is: 33,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,095 : 14,373.50 = 14,373.50 : x
  2. Step 2: Convert to fraction form
    6,095/14,373.50 = 14,373.50/x
  3. Step 3: Cross multiply
    6,095x = 14,373.50 × 14,373.50
  4. Step 4: Simplify right side
    6,095x = 206,597,502.25
  5. Step 5: Solve for x
    x = 206,597,502.25/6,095
  6. Step 6: Final answer
    x = 33,896.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.