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Finding the Third Proportional to 21,354 and 31,208

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Solution

The third proportional to 21,354 and 31,208 is: 45,609.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354 : 31,208 = 31,208 : x
  2. Step 2: Convert to fraction form
    21,354/31,208 = 31,208/x
  3. Step 3: Cross multiply
    21,354x = 31,208 × 31,208
  4. Step 4: Simplify right side
    21,354x = 973,939,264
  5. Step 5: Solve for x
    x = 973,939,264/21,354
  6. Step 6: Final answer
    x = 45,609.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.