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Finding the Third Proportional to 12,057.75 and 14,730.75

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Solution

The third proportional to 12,057.75 and 14,730.75 is: 17,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.75 : 14,730.75 = 14,730.75 : x
  2. Step 2: Convert to fraction form
    12,057.75/14,730.75 = 14,730.75/x
  3. Step 3: Cross multiply
    12,057.75x = 14,730.75 × 14,730.75
  4. Step 4: Simplify right side
    12,057.75x = 216,994,995.56
  5. Step 5: Solve for x
    x = 216,994,995.56/12,057.75
  6. Step 6: Final answer
    x = 17,996.31

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.