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Finding the Third Proportional to 35,826 and 77,610

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Solution

The third proportional to 35,826 and 77,610 is: 168,126.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,826 : 77,610 = 77,610 : x
  2. Step 2: Convert to fraction form
    35,826/77,610 = 77,610/x
  3. Step 3: Cross multiply
    35,826x = 77,610 × 77,610
  4. Step 4: Simplify right side
    35,826x = 6,023,312,100
  5. Step 5: Solve for x
    x = 6,023,312,100/35,826
  6. Step 6: Final answer
    x = 168,126.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.