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Finding the Third Proportional to 41,495 and 59,650

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Solution

The third proportional to 41,495 and 59,650 is: 85,748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,495 : 59,650 = 59,650 : x
  2. Step 2: Convert to fraction form
    41,495/59,650 = 59,650/x
  3. Step 3: Cross multiply
    41,495x = 59,650 × 59,650
  4. Step 4: Simplify right side
    41,495x = 3,558,122,500
  5. Step 5: Solve for x
    x = 3,558,122,500/41,495
  6. Step 6: Final answer
    x = 85,748.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.