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Finding the Third Proportional to 9,911.53 and 13,454.44

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Solution

The third proportional to 9,911.53 and 13,454.44 is: 18,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.53 : 13,454.44 = 13,454.44 : x
  2. Step 2: Convert to fraction form
    9,911.53/13,454.44 = 13,454.44/x
  3. Step 3: Cross multiply
    9,911.53x = 13,454.44 × 13,454.44
  4. Step 4: Simplify right side
    9,911.53x = 181,021,888.44
  5. Step 5: Solve for x
    x = 181,021,888.44/9,911.53
  6. Step 6: Final answer
    x = 18,263.77

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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.