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Finding the Third Proportional to 37,036 and 57,364

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Solution

The third proportional to 37,036 and 57,364 is: 88,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,036 : 57,364 = 57,364 : x
  2. Step 2: Convert to fraction form
    37,036/57,364 = 57,364/x
  3. Step 3: Cross multiply
    37,036x = 57,364 × 57,364
  4. Step 4: Simplify right side
    37,036x = 3,290,628,496
  5. Step 5: Solve for x
    x = 3,290,628,496/37,036
  6. Step 6: Final answer
    x = 88,849.46

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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.