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Finding the Third Proportional to 47,948 and 97,800

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Solution

The third proportional to 47,948 and 97,800 is: 199,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,948 : 97,800 = 97,800 : x
  2. Step 2: Convert to fraction form
    47,948/97,800 = 97,800/x
  3. Step 3: Cross multiply
    47,948x = 97,800 × 97,800
  4. Step 4: Simplify right side
    47,948x = 9,564,840,000
  5. Step 5: Solve for x
    x = 9,564,840,000/47,948
  6. Step 6: Final answer
    x = 199,483.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.