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Finding the Third Proportional to 36,970 and 57,352

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Solution

The third proportional to 36,970 and 57,352 is: 88,970.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,970 : 57,352 = 57,352 : x
  2. Step 2: Convert to fraction form
    36,970/57,352 = 57,352/x
  3. Step 3: Cross multiply
    36,970x = 57,352 × 57,352
  4. Step 4: Simplify right side
    36,970x = 3,289,251,904
  5. Step 5: Solve for x
    x = 3,289,251,904/36,970
  6. Step 6: Final answer
    x = 88,970.84

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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.