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Finding the Third Proportional to 19,549.50 and 31,477

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Solution

The third proportional to 19,549.50 and 31,477 is: 50,681.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,549.50 : 31,477 = 31,477 : x
  2. Step 2: Convert to fraction form
    19,549.50/31,477 = 31,477/x
  3. Step 3: Cross multiply
    19,549.50x = 31,477 × 31,477
  4. Step 4: Simplify right side
    19,549.50x = 990,801,529
  5. Step 5: Solve for x
    x = 990,801,529/19,549.50
  6. Step 6: Final answer
    x = 50,681.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.