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Finding the Third Proportional to 45,058 and 64,903

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Solution

The third proportional to 45,058 and 64,903 is: 93,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,058 : 64,903 = 64,903 : x
  2. Step 2: Convert to fraction form
    45,058/64,903 = 64,903/x
  3. Step 3: Cross multiply
    45,058x = 64,903 × 64,903
  4. Step 4: Simplify right side
    45,058x = 4,212,399,409
  5. Step 5: Solve for x
    x = 4,212,399,409/45,058
  6. Step 6: Final answer
    x = 93,488.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.