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Finding the Third Proportional to 43,296 and 57,888

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Solution

The third proportional to 43,296 and 57,888 is: 77,397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,296 : 57,888 = 57,888 : x
  2. Step 2: Convert to fraction form
    43,296/57,888 = 57,888/x
  3. Step 3: Cross multiply
    43,296x = 57,888 × 57,888
  4. Step 4: Simplify right side
    43,296x = 3,351,020,544
  5. Step 5: Solve for x
    x = 3,351,020,544/43,296
  6. Step 6: Final answer
    x = 77,397.92

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.