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Finding the Third Proportional to 10,923.50 and 23,153

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Solution

The third proportional to 10,923.50 and 23,153 is: 49,074.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,923.50 : 23,153 = 23,153 : x
  2. Step 2: Convert to fraction form
    10,923.50/23,153 = 23,153/x
  3. Step 3: Cross multiply
    10,923.50x = 23,153 × 23,153
  4. Step 4: Simplify right side
    10,923.50x = 536,061,409
  5. Step 5: Solve for x
    x = 536,061,409/10,923.50
  6. Step 6: Final answer
    x = 49,074.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.