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Finding the Third Proportional to 10,429 and 22,376.75

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Solution

The third proportional to 10,429 and 22,376.75 is: 48,012.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,429 : 22,376.75 = 22,376.75 : x
  2. Step 2: Convert to fraction form
    10,429/22,376.75 = 22,376.75/x
  3. Step 3: Cross multiply
    10,429x = 22,376.75 × 22,376.75
  4. Step 4: Simplify right side
    10,429x = 500,718,940.56
  5. Step 5: Solve for x
    x = 500,718,940.56/10,429
  6. Step 6: Final answer
    x = 48,012.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.