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Finding the Third Proportional to 33,312 and 49,460

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Solution

The third proportional to 33,312 and 49,460 is: 73,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,312 : 49,460 = 49,460 : x
  2. Step 2: Convert to fraction form
    33,312/49,460 = 49,460/x
  3. Step 3: Cross multiply
    33,312x = 49,460 × 49,460
  4. Step 4: Simplify right side
    33,312x = 2,446,291,600
  5. Step 5: Solve for x
    x = 2,446,291,600/33,312
  6. Step 6: Final answer
    x = 73,435.75

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.