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Finding the Third Proportional to 45,038 and 64,874

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Solution

The third proportional to 45,038 and 64,874 is: 93,446.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,038 : 64,874 = 64,874 : x
  2. Step 2: Convert to fraction form
    45,038/64,874 = 64,874/x
  3. Step 3: Cross multiply
    45,038x = 64,874 × 64,874
  4. Step 4: Simplify right side
    45,038x = 4,208,635,876
  5. Step 5: Solve for x
    x = 4,208,635,876/45,038
  6. Step 6: Final answer
    x = 93,446.33

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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.