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Finding the Third Proportional to 28,068 and 65,582

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Solution

The third proportional to 28,068 and 65,582 is: 153,234.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,068 : 65,582 = 65,582 : x
  2. Step 2: Convert to fraction form
    28,068/65,582 = 65,582/x
  3. Step 3: Cross multiply
    28,068x = 65,582 × 65,582
  4. Step 4: Simplify right side
    28,068x = 4,300,998,724
  5. Step 5: Solve for x
    x = 4,300,998,724/28,068
  6. Step 6: Final answer
    x = 153,234.96

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.