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Finding the Third Proportional to 17,598.50 and 38,477

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Solution

The third proportional to 17,598.50 and 38,477 is: 84,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,598.50 : 38,477 = 38,477 : x
  2. Step 2: Convert to fraction form
    17,598.50/38,477 = 38,477/x
  3. Step 3: Cross multiply
    17,598.50x = 38,477 × 38,477
  4. Step 4: Simplify right side
    17,598.50x = 1,480,479,529
  5. Step 5: Solve for x
    x = 1,480,479,529/17,598.50
  6. Step 6: Final answer
    x = 84,125.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.