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Finding the Third Proportional to 44,968.50 and 98,037

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Solution

The third proportional to 44,968.50 and 98,037 is: 213,733.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,968.50 : 98,037 = 98,037 : x
  2. Step 2: Convert to fraction form
    44,968.50/98,037 = 98,037/x
  3. Step 3: Cross multiply
    44,968.50x = 98,037 × 98,037
  4. Step 4: Simplify right side
    44,968.50x = 9,611,253,369
  5. Step 5: Solve for x
    x = 9,611,253,369/44,968.50
  6. Step 6: Final answer
    x = 213,733.02

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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.