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Finding the Third Proportional to 28,314 and 42,912

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Solution

The third proportional to 28,314 and 42,912 is: 65,036.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,314 : 42,912 = 42,912 : x
  2. Step 2: Convert to fraction form
    28,314/42,912 = 42,912/x
  3. Step 3: Cross multiply
    28,314x = 42,912 × 42,912
  4. Step 4: Simplify right side
    28,314x = 1,841,439,744
  5. Step 5: Solve for x
    x = 1,841,439,744/28,314
  6. Step 6: Final answer
    x = 65,036.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.