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Finding the Third Proportional to 9,040 and 19,444

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Solution

The third proportional to 9,040 and 19,444 is: 41,821.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,040 : 19,444 = 19,444 : x
  2. Step 2: Convert to fraction form
    9,040/19,444 = 19,444/x
  3. Step 3: Cross multiply
    9,040x = 19,444 × 19,444
  4. Step 4: Simplify right side
    9,040x = 378,069,136
  5. Step 5: Solve for x
    x = 378,069,136/9,040
  6. Step 6: Final answer
    x = 41,821.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.