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Finding the Third Proportional to 36,590 and 74,906

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Solution

The third proportional to 36,590 and 74,906 is: 153,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,590 : 74,906 = 74,906 : x
  2. Step 2: Convert to fraction form
    36,590/74,906 = 74,906/x
  3. Step 3: Cross multiply
    36,590x = 74,906 × 74,906
  4. Step 4: Simplify right side
    36,590x = 5,610,908,836
  5. Step 5: Solve for x
    x = 5,610,908,836/36,590
  6. Step 6: Final answer
    x = 153,345.42

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.