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Finding the Third Proportional to 37,672 and 58,240

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Solution

The third proportional to 37,672 and 58,240 is: 90,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,672 : 58,240 = 58,240 : x
  2. Step 2: Convert to fraction form
    37,672/58,240 = 58,240/x
  3. Step 3: Cross multiply
    37,672x = 58,240 × 58,240
  4. Step 4: Simplify right side
    37,672x = 3,391,897,600
  5. Step 5: Solve for x
    x = 3,391,897,600/37,672
  6. Step 6: Final answer
    x = 90,037.63

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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.