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Finding the Third Proportional to 35,974 and 53,592

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Solution

The third proportional to 35,974 and 53,592 is: 79,838.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,974 : 53,592 = 53,592 : x
  2. Step 2: Convert to fraction form
    35,974/53,592 = 53,592/x
  3. Step 3: Cross multiply
    35,974x = 53,592 × 53,592
  4. Step 4: Simplify right side
    35,974x = 2,872,102,464
  5. Step 5: Solve for x
    x = 2,872,102,464/35,974
  6. Step 6: Final answer
    x = 79,838.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.