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Finding the Third Proportional to 11,690 and 25,263

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Solution

The third proportional to 11,690 and 25,263 is: 54,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,690 : 25,263 = 25,263 : x
  2. Step 2: Convert to fraction form
    11,690/25,263 = 25,263/x
  3. Step 3: Cross multiply
    11,690x = 25,263 × 25,263
  4. Step 4: Simplify right side
    11,690x = 638,219,169
  5. Step 5: Solve for x
    x = 638,219,169/11,690
  6. Step 6: Final answer
    x = 54,595.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.