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Finding the Third Proportional to 19,578 and 43,516

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Solution

The third proportional to 19,578 and 43,516 is: 96,722.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,578 : 43,516 = 43,516 : x
  2. Step 2: Convert to fraction form
    19,578/43,516 = 43,516/x
  3. Step 3: Cross multiply
    19,578x = 43,516 × 43,516
  4. Step 4: Simplify right side
    19,578x = 1,893,642,256
  5. Step 5: Solve for x
    x = 1,893,642,256/19,578
  6. Step 6: Final answer
    x = 96,722.97

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.