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Finding the Third Proportional to 37,098 and 56,058

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Solution

The third proportional to 37,098 and 56,058 is: 84,708.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,098 : 56,058 = 56,058 : x
  2. Step 2: Convert to fraction form
    37,098/56,058 = 56,058/x
  3. Step 3: Cross multiply
    37,098x = 56,058 × 56,058
  4. Step 4: Simplify right side
    37,098x = 3,142,499,364
  5. Step 5: Solve for x
    x = 3,142,499,364/37,098
  6. Step 6: Final answer
    x = 84,708.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.