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Finding the Third Proportional to 9,830.25 and 16,233.75

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Solution

The third proportional to 9,830.25 and 16,233.75 is: 26,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.25 : 16,233.75 = 16,233.75 : x
  2. Step 2: Convert to fraction form
    9,830.25/16,233.75 = 16,233.75/x
  3. Step 3: Cross multiply
    9,830.25x = 16,233.75 × 16,233.75
  4. Step 4: Simplify right side
    9,830.25x = 263,534,639.06
  5. Step 5: Solve for x
    x = 263,534,639.06/9,830.25
  6. Step 6: Final answer
    x = 26,808.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.