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Finding the Third Proportional to 23,814 and 53,266.36

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Solution

The third proportional to 23,814 and 53,266.36 is: 119,144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,814 : 53,266.36 = 53,266.36 : x
  2. Step 2: Convert to fraction form
    23,814/53,266.36 = 53,266.36/x
  3. Step 3: Cross multiply
    23,814x = 53,266.36 × 53,266.36
  4. Step 4: Simplify right side
    23,814x = 2,837,305,041.07
  5. Step 5: Solve for x
    x = 2,837,305,041.07/23,814
  6. Step 6: Final answer
    x = 119,144.41

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.