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Finding the Third Proportional to 9,848 and 14,348.75

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Solution

The third proportional to 9,848 and 14,348.75 is: 20,906.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848 : 14,348.75 = 14,348.75 : x
  2. Step 2: Convert to fraction form
    9,848/14,348.75 = 14,348.75/x
  3. Step 3: Cross multiply
    9,848x = 14,348.75 × 14,348.75
  4. Step 4: Simplify right side
    9,848x = 205,886,626.56
  5. Step 5: Solve for x
    x = 205,886,626.56/9,848
  6. Step 6: Final answer
    x = 20,906.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.