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Finding the Third Proportional to 14,030 and 19,623

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Solution

The third proportional to 14,030 and 19,623 is: 27,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,030 : 19,623 = 19,623 : x
  2. Step 2: Convert to fraction form
    14,030/19,623 = 19,623/x
  3. Step 3: Cross multiply
    14,030x = 19,623 × 19,623
  4. Step 4: Simplify right side
    14,030x = 385,062,129
  5. Step 5: Solve for x
    x = 385,062,129/14,030
  6. Step 6: Final answer
    x = 27,445.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.