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Finding the Third Proportional to 37,071 and 57,888

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Solution

The third proportional to 37,071 and 57,888 is: 90,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,071 : 57,888 = 57,888 : x
  2. Step 2: Convert to fraction form
    37,071/57,888 = 57,888/x
  3. Step 3: Cross multiply
    37,071x = 57,888 × 57,888
  4. Step 4: Simplify right side
    37,071x = 3,351,020,544
  5. Step 5: Solve for x
    x = 3,351,020,544/37,071
  6. Step 6: Final answer
    x = 90,394.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.