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Finding the Third Proportional to 24,848.25 and 49,676.25

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Solution

The third proportional to 24,848.25 and 49,676.25 is: 99,312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,848.25 : 49,676.25 = 49,676.25 : x
  2. Step 2: Convert to fraction form
    24,848.25/49,676.25 = 49,676.25/x
  3. Step 3: Cross multiply
    24,848.25x = 49,676.25 × 49,676.25
  4. Step 4: Simplify right side
    24,848.25x = 2,467,729,814.06
  5. Step 5: Solve for x
    x = 2,467,729,814.06/24,848.25
  6. Step 6: Final answer
    x = 99,312.02

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.