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Finding the Third Proportional to 21,145 and 45,935

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Solution

The third proportional to 21,145 and 45,935 is: 99,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,145 : 45,935 = 45,935 : x
  2. Step 2: Convert to fraction form
    21,145/45,935 = 45,935/x
  3. Step 3: Cross multiply
    21,145x = 45,935 × 45,935
  4. Step 4: Simplify right side
    21,145x = 2,110,024,225
  5. Step 5: Solve for x
    x = 2,110,024,225/21,145
  6. Step 6: Final answer
    x = 99,788.33

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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.