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Finding the Third Proportional to 29,690 and 60,590

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Solution

The third proportional to 29,690 and 60,590 is: 123,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,690 : 60,590 = 60,590 : x
  2. Step 2: Convert to fraction form
    29,690/60,590 = 60,590/x
  3. Step 3: Cross multiply
    29,690x = 60,590 × 60,590
  4. Step 4: Simplify right side
    29,690x = 3,671,148,100
  5. Step 5: Solve for x
    x = 3,671,148,100/29,690
  6. Step 6: Final answer
    x = 123,649.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.