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Finding the Third Proportional to 37,600 and 52,565

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Solution

The third proportional to 37,600 and 52,565 is: 73,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,600 : 52,565 = 52,565 : x
  2. Step 2: Convert to fraction form
    37,600/52,565 = 52,565/x
  3. Step 3: Cross multiply
    37,600x = 52,565 × 52,565
  4. Step 4: Simplify right side
    37,600x = 2,763,079,225
  5. Step 5: Solve for x
    x = 2,763,079,225/37,600
  6. Step 6: Final answer
    x = 73,486.15

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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.