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Finding the Third Proportional to 21,166 and 45,523

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Solution

The third proportional to 21,166 and 45,523 is: 97,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,166 : 45,523 = 45,523 : x
  2. Step 2: Convert to fraction form
    21,166/45,523 = 45,523/x
  3. Step 3: Cross multiply
    21,166x = 45,523 × 45,523
  4. Step 4: Simplify right side
    21,166x = 2,072,343,529
  5. Step 5: Solve for x
    x = 2,072,343,529/21,166
  6. Step 6: Final answer
    x = 97,909.08

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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.