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Finding the Third Proportional to 21,159 and 45,034

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Solution

The third proportional to 21,159 and 45,034 is: 95,848.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,159 : 45,034 = 45,034 : x
  2. Step 2: Convert to fraction form
    21,159/45,034 = 45,034/x
  3. Step 3: Cross multiply
    21,159x = 45,034 × 45,034
  4. Step 4: Simplify right side
    21,159x = 2,028,061,156
  5. Step 5: Solve for x
    x = 2,028,061,156/21,159
  6. Step 6: Final answer
    x = 95,848.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.