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Finding the Third Proportional to 35,057 and 52,952

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Solution

The third proportional to 35,057 and 52,952 is: 79,981.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,057 : 52,952 = 52,952 : x
  2. Step 2: Convert to fraction form
    35,057/52,952 = 52,952/x
  3. Step 3: Cross multiply
    35,057x = 52,952 × 52,952
  4. Step 4: Simplify right side
    35,057x = 2,803,914,304
  5. Step 5: Solve for x
    x = 2,803,914,304/35,057
  6. Step 6: Final answer
    x = 79,981.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.