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Finding the Third Proportional to 21,058 and 46,073

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Solution

The third proportional to 21,058 and 46,073 is: 100,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,058 : 46,073 = 46,073 : x
  2. Step 2: Convert to fraction form
    21,058/46,073 = 46,073/x
  3. Step 3: Cross multiply
    21,058x = 46,073 × 46,073
  4. Step 4: Simplify right side
    21,058x = 2,122,721,329
  5. Step 5: Solve for x
    x = 2,122,721,329/21,058
  6. Step 6: Final answer
    x = 100,803.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.