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Finding the Third Proportional to 29,588 and 44,690

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Solution

The third proportional to 29,588 and 44,690 is: 67,500.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,588 : 44,690 = 44,690 : x
  2. Step 2: Convert to fraction form
    29,588/44,690 = 44,690/x
  3. Step 3: Cross multiply
    29,588x = 44,690 × 44,690
  4. Step 4: Simplify right side
    29,588x = 1,997,196,100
  5. Step 5: Solve for x
    x = 1,997,196,100/29,588
  6. Step 6: Final answer
    x = 67,500.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.