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Finding the Third Proportional to 52,796 and 77,462

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Solution

The third proportional to 52,796 and 77,462 is: 113,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,796 : 77,462 = 77,462 : x
  2. Step 2: Convert to fraction form
    52,796/77,462 = 77,462/x
  3. Step 3: Cross multiply
    52,796x = 77,462 × 77,462
  4. Step 4: Simplify right side
    52,796x = 6,000,361,444
  5. Step 5: Solve for x
    x = 6,000,361,444/52,796
  6. Step 6: Final answer
    x = 113,651.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.