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Finding the Third Proportional to 35,970 and 52,651

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Solution

The third proportional to 35,970 and 52,651 is: 77,067.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,970 : 52,651 = 52,651 : x
  2. Step 2: Convert to fraction form
    35,970/52,651 = 52,651/x
  3. Step 3: Cross multiply
    35,970x = 52,651 × 52,651
  4. Step 4: Simplify right side
    35,970x = 2,772,127,801
  5. Step 5: Solve for x
    x = 2,772,127,801/35,970
  6. Step 6: Final answer
    x = 77,067.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.