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Finding the Third Proportional to 14,036.50 and 30,713

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Solution

The third proportional to 14,036.50 and 30,713 is: 67,202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,036.50 : 30,713 = 30,713 : x
  2. Step 2: Convert to fraction form
    14,036.50/30,713 = 30,713/x
  3. Step 3: Cross multiply
    14,036.50x = 30,713 × 30,713
  4. Step 4: Simplify right side
    14,036.50x = 943,288,369
  5. Step 5: Solve for x
    x = 943,288,369/14,036.50
  6. Step 6: Final answer
    x = 67,202.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.