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Finding the Third Proportional to 20,598 and 44,992.50

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Solution

The third proportional to 20,598 and 44,992.50 is: 98,277.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598 : 44,992.50 = 44,992.50 : x
  2. Step 2: Convert to fraction form
    20,598/44,992.50 = 44,992.50/x
  3. Step 3: Cross multiply
    20,598x = 44,992.50 × 44,992.50
  4. Step 4: Simplify right side
    20,598x = 2,024,325,056.25
  5. Step 5: Solve for x
    x = 2,024,325,056.25/20,598
  6. Step 6: Final answer
    x = 98,277.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.