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Finding the Third Proportional to 4,758 and 11,490

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Solution

The third proportional to 4,758 and 11,490 is: 27,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758 : 11,490 = 11,490 : x
  2. Step 2: Convert to fraction form
    4,758/11,490 = 11,490/x
  3. Step 3: Cross multiply
    4,758x = 11,490 × 11,490
  4. Step 4: Simplify right side
    4,758x = 132,020,100
  5. Step 5: Solve for x
    x = 132,020,100/4,758
  6. Step 6: Final answer
    x = 27,746.97

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.