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Finding the Third Proportional to 14,235.75 and 20,700.56

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Solution

The third proportional to 14,235.75 and 20,700.56 is: 30,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,235.75 : 20,700.56 = 20,700.56 : x
  2. Step 2: Convert to fraction form
    14,235.75/20,700.56 = 20,700.56/x
  3. Step 3: Cross multiply
    14,235.75x = 20,700.56 × 20,700.56
  4. Step 4: Simplify right side
    14,235.75x = 428,513,287.82
  5. Step 5: Solve for x
    x = 428,513,287.82/14,235.75
  6. Step 6: Final answer
    x = 30,101.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.