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Finding the Third Proportional to 15,410.50 and 31,549

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Solution

The third proportional to 15,410.50 and 31,549 is: 64,588.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,410.50 : 31,549 = 31,549 : x
  2. Step 2: Convert to fraction form
    15,410.50/31,549 = 31,549/x
  3. Step 3: Cross multiply
    15,410.50x = 31,549 × 31,549
  4. Step 4: Simplify right side
    15,410.50x = 995,339,401
  5. Step 5: Solve for x
    x = 995,339,401/15,410.50
  6. Step 6: Final answer
    x = 64,588.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.