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Finding the Third Proportional to 9,920.75 and 13,473.44

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Solution

The third proportional to 9,920.75 and 13,473.44 is: 18,298.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.75 : 13,473.44 = 13,473.44 : x
  2. Step 2: Convert to fraction form
    9,920.75/13,473.44 = 13,473.44/x
  3. Step 3: Cross multiply
    9,920.75x = 13,473.44 × 13,473.44
  4. Step 4: Simplify right side
    9,920.75x = 181,533,518.07
  5. Step 5: Solve for x
    x = 181,533,518.07/9,920.75
  6. Step 6: Final answer
    x = 18,298.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.