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Finding the Third Proportional to 37,590 and 89,052

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Solution

The third proportional to 37,590 and 89,052 is: 210,967.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,590 : 89,052 = 89,052 : x
  2. Step 2: Convert to fraction form
    37,590/89,052 = 89,052/x
  3. Step 3: Cross multiply
    37,590x = 89,052 × 89,052
  4. Step 4: Simplify right side
    37,590x = 7,930,258,704
  5. Step 5: Solve for x
    x = 7,930,258,704/37,590
  6. Step 6: Final answer
    x = 210,967.24

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.