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Finding the Third Proportional to 19,040 and 41,440

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Solution

The third proportional to 19,040 and 41,440 is: 90,192.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,040 : 41,440 = 41,440 : x
  2. Step 2: Convert to fraction form
    19,040/41,440 = 41,440/x
  3. Step 3: Cross multiply
    19,040x = 41,440 × 41,440
  4. Step 4: Simplify right side
    19,040x = 1,717,273,600
  5. Step 5: Solve for x
    x = 1,717,273,600/19,040
  6. Step 6: Final answer
    x = 90,192.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.