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Finding the Third Proportional to 36,428 and 57,152

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Solution

The third proportional to 36,428 and 57,152 is: 89,665.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,428 : 57,152 = 57,152 : x
  2. Step 2: Convert to fraction form
    36,428/57,152 = 57,152/x
  3. Step 3: Cross multiply
    36,428x = 57,152 × 57,152
  4. Step 4: Simplify right side
    36,428x = 3,266,351,104
  5. Step 5: Solve for x
    x = 3,266,351,104/36,428
  6. Step 6: Final answer
    x = 89,665.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.