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Finding the Third Proportional to 21,014 and 45,213

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Solution

The third proportional to 21,014 and 45,213 is: 97,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014 : 45,213 = 45,213 : x
  2. Step 2: Convert to fraction form
    21,014/45,213 = 45,213/x
  3. Step 3: Cross multiply
    21,014x = 45,213 × 45,213
  4. Step 4: Simplify right side
    21,014x = 2,044,215,369
  5. Step 5: Solve for x
    x = 2,044,215,369/21,014
  6. Step 6: Final answer
    x = 97,278.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.