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Finding the Third Proportional to 4,848.75 and 11,237.63

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Solution

The third proportional to 4,848.75 and 11,237.63 is: 26,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.75 : 11,237.63 = 11,237.63 : x
  2. Step 2: Convert to fraction form
    4,848.75/11,237.63 = 11,237.63/x
  3. Step 3: Cross multiply
    4,848.75x = 11,237.63 × 11,237.63
  4. Step 4: Simplify right side
    4,848.75x = 126,284,215.64
  5. Step 5: Solve for x
    x = 126,284,215.64/4,848.75
  6. Step 6: Final answer
    x = 26,044.70

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.