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Finding the Third Proportional to 22,398 and 47,094.50

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Solution

The third proportional to 22,398 and 47,094.50 is: 99,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,398 : 47,094.50 = 47,094.50 : x
  2. Step 2: Convert to fraction form
    22,398/47,094.50 = 47,094.50/x
  3. Step 3: Cross multiply
    22,398x = 47,094.50 × 47,094.50
  4. Step 4: Simplify right side
    22,398x = 2,217,891,930.25
  5. Step 5: Solve for x
    x = 2,217,891,930.25/22,398
  6. Step 6: Final answer
    x = 99,021.87

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.