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Finding the Third Proportional to 35,598 and 75,586

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Solution

The third proportional to 35,598 and 75,586 is: 160,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,598 : 75,586 = 75,586 : x
  2. Step 2: Convert to fraction form
    35,598/75,586 = 75,586/x
  3. Step 3: Cross multiply
    35,598x = 75,586 × 75,586
  4. Step 4: Simplify right side
    35,598x = 5,713,243,396
  5. Step 5: Solve for x
    x = 5,713,243,396/35,598
  6. Step 6: Final answer
    x = 160,493.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.