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Finding the Third Proportional to 33,816 and 53,046

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Solution

The third proportional to 33,816 and 53,046 is: 83,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,816 : 53,046 = 53,046 : x
  2. Step 2: Convert to fraction form
    33,816/53,046 = 53,046/x
  3. Step 3: Cross multiply
    33,816x = 53,046 × 53,046
  4. Step 4: Simplify right side
    33,816x = 2,813,878,116
  5. Step 5: Solve for x
    x = 2,813,878,116/33,816
  6. Step 6: Final answer
    x = 83,211.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.