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Finding the Third Proportional to 9,709.50 and 14,245.13

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Solution

The third proportional to 9,709.50 and 14,245.13 is: 20,899.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.50 : 14,245.13 = 14,245.13 : x
  2. Step 2: Convert to fraction form
    9,709.50/14,245.13 = 14,245.13/x
  3. Step 3: Cross multiply
    9,709.50x = 14,245.13 × 14,245.13
  4. Step 4: Simplify right side
    9,709.50x = 202,923,586.27
  5. Step 5: Solve for x
    x = 202,923,586.27/9,709.50
  6. Step 6: Final answer
    x = 20,899.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.