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Finding the Third Proportional to 23,310 and 49,823

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Solution

The third proportional to 23,310 and 49,823 is: 106,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,310 : 49,823 = 49,823 : x
  2. Step 2: Convert to fraction form
    23,310/49,823 = 49,823/x
  3. Step 3: Cross multiply
    23,310x = 49,823 × 49,823
  4. Step 4: Simplify right side
    23,310x = 2,482,331,329
  5. Step 5: Solve for x
    x = 2,482,331,329/23,310
  6. Step 6: Final answer
    x = 106,492.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.