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Finding the Third Proportional to 23,454 and 49,337

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Solution

The third proportional to 23,454 and 49,337 is: 103,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,454 : 49,337 = 49,337 : x
  2. Step 2: Convert to fraction form
    23,454/49,337 = 49,337/x
  3. Step 3: Cross multiply
    23,454x = 49,337 × 49,337
  4. Step 4: Simplify right side
    23,454x = 2,434,139,569
  5. Step 5: Solve for x
    x = 2,434,139,569/23,454
  6. Step 6: Final answer
    x = 103,783.56

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.