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Finding the Third Proportional to 22,058 and 47,821.50

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Solution

The third proportional to 22,058 and 47,821.50 is: 103,676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,058 : 47,821.50 = 47,821.50 : x
  2. Step 2: Convert to fraction form
    22,058/47,821.50 = 47,821.50/x
  3. Step 3: Cross multiply
    22,058x = 47,821.50 × 47,821.50
  4. Step 4: Simplify right side
    22,058x = 2,286,895,862.25
  5. Step 5: Solve for x
    x = 2,286,895,862.25/22,058
  6. Step 6: Final answer
    x = 103,676.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.