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Finding the Third Proportional to 23,312 and 49,828

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Solution

The third proportional to 23,312 and 49,828 is: 106,504.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,312 : 49,828 = 49,828 : x
  2. Step 2: Convert to fraction form
    23,312/49,828 = 49,828/x
  3. Step 3: Cross multiply
    23,312x = 49,828 × 49,828
  4. Step 4: Simplify right side
    23,312x = 2,482,829,584
  5. Step 5: Solve for x
    x = 2,482,829,584/23,312
  6. Step 6: Final answer
    x = 106,504.36

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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.