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Finding the Third Proportional to 10,895.50 and 23,519

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Solution

The third proportional to 10,895.50 and 23,519 is: 50,768.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,895.50 : 23,519 = 23,519 : x
  2. Step 2: Convert to fraction form
    10,895.50/23,519 = 23,519/x
  3. Step 3: Cross multiply
    10,895.50x = 23,519 × 23,519
  4. Step 4: Simplify right side
    10,895.50x = 553,143,361
  5. Step 5: Solve for x
    x = 553,143,361/10,895.50
  6. Step 6: Final answer
    x = 50,768.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.