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Finding the Third Proportional to 14,015 and 21,023

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Solution

The third proportional to 14,015 and 21,023 is: 31,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,015 : 21,023 = 21,023 : x
  2. Step 2: Convert to fraction form
    14,015/21,023 = 21,023/x
  3. Step 3: Cross multiply
    14,015x = 21,023 × 21,023
  4. Step 4: Simplify right side
    14,015x = 441,966,529
  5. Step 5: Solve for x
    x = 441,966,529/14,015
  6. Step 6: Final answer
    x = 31,535.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.