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Finding the Third Proportional to 14,947.50 and 35,235

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Solution

The third proportional to 14,947.50 and 35,235 is: 83,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,947.50 : 35,235 = 35,235 : x
  2. Step 2: Convert to fraction form
    14,947.50/35,235 = 35,235/x
  3. Step 3: Cross multiply
    14,947.50x = 35,235 × 35,235
  4. Step 4: Simplify right side
    14,947.50x = 1,241,505,225
  5. Step 5: Solve for x
    x = 1,241,505,225/14,947.50
  6. Step 6: Final answer
    x = 83,057.72

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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.