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Finding the Third Proportional to 24,977 and 52,263

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Solution

The third proportional to 24,977 and 52,263 is: 109,357.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,977 : 52,263 = 52,263 : x
  2. Step 2: Convert to fraction form
    24,977/52,263 = 52,263/x
  3. Step 3: Cross multiply
    24,977x = 52,263 × 52,263
  4. Step 4: Simplify right side
    24,977x = 2,731,421,169
  5. Step 5: Solve for x
    x = 2,731,421,169/24,977
  6. Step 6: Final answer
    x = 109,357.46

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.