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Finding the Third Proportional to 26,749 and 41,585

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Solution

The third proportional to 26,749 and 41,585 is: 64,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,749 : 41,585 = 41,585 : x
  2. Step 2: Convert to fraction form
    26,749/41,585 = 41,585/x
  3. Step 3: Cross multiply
    26,749x = 41,585 × 41,585
  4. Step 4: Simplify right side
    26,749x = 1,729,312,225
  5. Step 5: Solve for x
    x = 1,729,312,225/26,749
  6. Step 6: Final answer
    x = 64,649.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.