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Finding the Third Proportional to 28,598 and 67,598

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Solution

The third proportional to 28,598 and 67,598 is: 159,783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,598 : 67,598 = 67,598 : x
  2. Step 2: Convert to fraction form
    28,598/67,598 = 67,598/x
  3. Step 3: Cross multiply
    28,598x = 67,598 × 67,598
  4. Step 4: Simplify right side
    28,598x = 4,569,489,604
  5. Step 5: Solve for x
    x = 4,569,489,604/28,598
  6. Step 6: Final answer
    x = 159,783.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.