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Finding the Third Proportional to 37,217 and 53,058

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Solution

The third proportional to 37,217 and 53,058 is: 75,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,217 : 53,058 = 53,058 : x
  2. Step 2: Convert to fraction form
    37,217/53,058 = 53,058/x
  3. Step 3: Cross multiply
    37,217x = 53,058 × 53,058
  4. Step 4: Simplify right side
    37,217x = 2,815,151,364
  5. Step 5: Solve for x
    x = 2,815,151,364/37,217
  6. Step 6: Final answer
    x = 75,641.54

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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.