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Finding the Third Proportional to 9,917.44 and 23,533.03

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Solution

The third proportional to 9,917.44 and 23,533.03 is: 55,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.44 : 23,533.03 = 23,533.03 : x
  2. Step 2: Convert to fraction form
    9,917.44/23,533.03 = 23,533.03/x
  3. Step 3: Cross multiply
    9,917.44x = 23,533.03 × 23,533.03
  4. Step 4: Simplify right side
    9,917.44x = 553,803,559.81
  5. Step 5: Solve for x
    x = 553,803,559.81/9,917.44
  6. Step 6: Final answer
    x = 55,841.40

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.