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Finding the Third Proportional to 11,388 and 24,969.75

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Solution

The third proportional to 11,388 and 24,969.75 is: 54,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,388 : 24,969.75 = 24,969.75 : x
  2. Step 2: Convert to fraction form
    11,388/24,969.75 = 24,969.75/x
  3. Step 3: Cross multiply
    11,388x = 24,969.75 × 24,969.75
  4. Step 4: Simplify right side
    11,388x = 623,488,415.06
  5. Step 5: Solve for x
    x = 623,488,415.06/11,388
  6. Step 6: Final answer
    x = 54,749.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.