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Finding the Third Proportional to 10,444 and 19,328

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Solution

The third proportional to 10,444 and 19,328 is: 35,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,444 : 19,328 = 19,328 : x
  2. Step 2: Convert to fraction form
    10,444/19,328 = 19,328/x
  3. Step 3: Cross multiply
    10,444x = 19,328 × 19,328
  4. Step 4: Simplify right side
    10,444x = 373,571,584
  5. Step 5: Solve for x
    x = 373,571,584/10,444
  6. Step 6: Final answer
    x = 35,769.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.