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Finding the Third Proportional to 47,011.50 and 97,911

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Solution

The third proportional to 47,011.50 and 97,911 is: 203,919.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,011.50 : 97,911 = 97,911 : x
  2. Step 2: Convert to fraction form
    47,011.50/97,911 = 97,911/x
  3. Step 3: Cross multiply
    47,011.50x = 97,911 × 97,911
  4. Step 4: Simplify right side
    47,011.50x = 9,586,563,921
  5. Step 5: Solve for x
    x = 9,586,563,921/47,011.50
  6. Step 6: Final answer
    x = 203,919.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.