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Finding the Third Proportional to 28,827 and 62,577

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Solution

The third proportional to 28,827 and 62,577 is: 135,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,827 : 62,577 = 62,577 : x
  2. Step 2: Convert to fraction form
    28,827/62,577 = 62,577/x
  3. Step 3: Cross multiply
    28,827x = 62,577 × 62,577
  4. Step 4: Simplify right side
    28,827x = 3,915,880,929
  5. Step 5: Solve for x
    x = 3,915,880,929/28,827
  6. Step 6: Final answer
    x = 135,840.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.