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Finding the Third Proportional to 19,834 and 29,656

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Solution

The third proportional to 19,834 and 29,656 is: 44,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,834 : 29,656 = 29,656 : x
  2. Step 2: Convert to fraction form
    19,834/29,656 = 29,656/x
  3. Step 3: Cross multiply
    19,834x = 29,656 × 29,656
  4. Step 4: Simplify right side
    19,834x = 879,478,336
  5. Step 5: Solve for x
    x = 879,478,336/19,834
  6. Step 6: Final answer
    x = 44,341.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.