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Finding the Third Proportional to 35,728 and 52,522

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Solution

The third proportional to 35,728 and 52,522 is: 77,210.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,728 : 52,522 = 52,522 : x
  2. Step 2: Convert to fraction form
    35,728/52,522 = 52,522/x
  3. Step 3: Cross multiply
    35,728x = 52,522 × 52,522
  4. Step 4: Simplify right side
    35,728x = 2,758,560,484
  5. Step 5: Solve for x
    x = 2,758,560,484/35,728
  6. Step 6: Final answer
    x = 77,210.04

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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.