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Finding the Third Proportional to 14,194 and 21,490

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Solution

The third proportional to 14,194 and 21,490 is: 32,536.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194 : 21,490 = 21,490 : x
  2. Step 2: Convert to fraction form
    14,194/21,490 = 21,490/x
  3. Step 3: Cross multiply
    14,194x = 21,490 × 21,490
  4. Step 4: Simplify right side
    14,194x = 461,820,100
  5. Step 5: Solve for x
    x = 461,820,100/14,194
  6. Step 6: Final answer
    x = 32,536.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.