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Finding the Third Proportional to 53,232.75 and 74,016

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Solution

The third proportional to 53,232.75 and 74,016 is: 102,913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,232.75 : 74,016 = 74,016 : x
  2. Step 2: Convert to fraction form
    53,232.75/74,016 = 74,016/x
  3. Step 3: Cross multiply
    53,232.75x = 74,016 × 74,016
  4. Step 4: Simplify right side
    53,232.75x = 5,478,368,256
  5. Step 5: Solve for x
    x = 5,478,368,256/53,232.75
  6. Step 6: Final answer
    x = 102,913.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.