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Finding the Third Proportional to 9,078.75 and 14,021.02

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Solution

The third proportional to 9,078.75 and 14,021.02 is: 21,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.75 : 14,021.02 = 14,021.02 : x
  2. Step 2: Convert to fraction form
    9,078.75/14,021.02 = 14,021.02/x
  3. Step 3: Cross multiply
    9,078.75x = 14,021.02 × 14,021.02
  4. Step 4: Simplify right side
    9,078.75x = 196,588,879.16
  5. Step 5: Solve for x
    x = 196,588,879.16/9,078.75
  6. Step 6: Final answer
    x = 21,653.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.