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Finding the Third Proportional to 19,432 and 41,929

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Solution

The third proportional to 19,432 and 41,929 is: 90,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,432 : 41,929 = 41,929 : x
  2. Step 2: Convert to fraction form
    19,432/41,929 = 41,929/x
  3. Step 3: Cross multiply
    19,432x = 41,929 × 41,929
  4. Step 4: Simplify right side
    19,432x = 1,758,041,041
  5. Step 5: Solve for x
    x = 1,758,041,041/19,432
  6. Step 6: Final answer
    x = 90,471.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.