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Finding the Third Proportional to 35,729 and 77,607

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Solution

The third proportional to 35,729 and 77,607 is: 168,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,729 : 77,607 = 77,607 : x
  2. Step 2: Convert to fraction form
    35,729/77,607 = 77,607/x
  3. Step 3: Cross multiply
    35,729x = 77,607 × 77,607
  4. Step 4: Simplify right side
    35,729x = 6,022,846,449
  5. Step 5: Solve for x
    x = 6,022,846,449/35,729
  6. Step 6: Final answer
    x = 168,570.25

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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.