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Finding the Third Proportional to 9,466.50 and 19,549

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Solution

The third proportional to 9,466.50 and 19,549 is: 40,370.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.50 : 19,549 = 19,549 : x
  2. Step 2: Convert to fraction form
    9,466.50/19,549 = 19,549/x
  3. Step 3: Cross multiply
    9,466.50x = 19,549 × 19,549
  4. Step 4: Simplify right side
    9,466.50x = 382,163,401
  5. Step 5: Solve for x
    x = 382,163,401/9,466.50
  6. Step 6: Final answer
    x = 40,370.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.