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Finding the Third Proportional to 14,026 and 28,754

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Solution

The third proportional to 14,026 and 28,754 is: 58,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,026 : 28,754 = 28,754 : x
  2. Step 2: Convert to fraction form
    14,026/28,754 = 28,754/x
  3. Step 3: Cross multiply
    14,026x = 28,754 × 28,754
  4. Step 4: Simplify right side
    14,026x = 826,792,516
  5. Step 5: Solve for x
    x = 826,792,516/14,026
  6. Step 6: Final answer
    x = 58,947.14

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.