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Finding the Third Proportional to 37,206 and 57,537

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Solution

The third proportional to 37,206 and 57,537 is: 88,977.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,206 : 57,537 = 57,537 : x
  2. Step 2: Convert to fraction form
    37,206/57,537 = 57,537/x
  3. Step 3: Cross multiply
    37,206x = 57,537 × 57,537
  4. Step 4: Simplify right side
    37,206x = 3,310,506,369
  5. Step 5: Solve for x
    x = 3,310,506,369/37,206
  6. Step 6: Final answer
    x = 88,977.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.