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Finding the Third Proportional to 37,215 and 53,054

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Solution

The third proportional to 37,215 and 53,054 is: 75,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,215 : 53,054 = 53,054 : x
  2. Step 2: Convert to fraction form
    37,215/53,054 = 53,054/x
  3. Step 3: Cross multiply
    37,215x = 53,054 × 53,054
  4. Step 4: Simplify right side
    37,215x = 2,814,726,916
  5. Step 5: Solve for x
    x = 2,814,726,916/37,215
  6. Step 6: Final answer
    x = 75,634.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.