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Finding the Third Proportional to 21,011 and 45,208

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Solution

The third proportional to 21,011 and 45,208 is: 97,271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,011 : 45,208 = 45,208 : x
  2. Step 2: Convert to fraction form
    21,011/45,208 = 45,208/x
  3. Step 3: Cross multiply
    21,011x = 45,208 × 45,208
  4. Step 4: Simplify right side
    21,011x = 2,043,763,264
  5. Step 5: Solve for x
    x = 2,043,763,264/21,011
  6. Step 6: Final answer
    x = 97,271.11

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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.