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Finding the Third Proportional to 37,924 and 56,888

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Solution

The third proportional to 37,924 and 56,888 is: 85,335.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,924 : 56,888 = 56,888 : x
  2. Step 2: Convert to fraction form
    37,924/56,888 = 56,888/x
  3. Step 3: Cross multiply
    37,924x = 56,888 × 56,888
  4. Step 4: Simplify right side
    37,924x = 3,236,244,544
  5. Step 5: Solve for x
    x = 3,236,244,544/37,924
  6. Step 6: Final answer
    x = 85,335.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.