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Finding the Third Proportional to 14,742 and 19,278

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Solution

The third proportional to 14,742 and 19,278 is: 25,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742 : 19,278 = 19,278 : x
  2. Step 2: Convert to fraction form
    14,742/19,278 = 19,278/x
  3. Step 3: Cross multiply
    14,742x = 19,278 × 19,278
  4. Step 4: Simplify right side
    14,742x = 371,641,284
  5. Step 5: Solve for x
    x = 371,641,284/14,742
  6. Step 6: Final answer
    x = 25,209.69

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.