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Finding the Third Proportional to 37,207 and 52,044

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Solution

The third proportional to 37,207 and 52,044 is: 72,797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,207 : 52,044 = 52,044 : x
  2. Step 2: Convert to fraction form
    37,207/52,044 = 52,044/x
  3. Step 3: Cross multiply
    37,207x = 52,044 × 52,044
  4. Step 4: Simplify right side
    37,207x = 2,708,577,936
  5. Step 5: Solve for x
    x = 2,708,577,936/37,207
  6. Step 6: Final answer
    x = 72,797.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.