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Finding the Third Proportional to 23,646.94 and 51,197.06

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Solution

The third proportional to 23,646.94 and 51,197.06 is: 110,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,646.94 : 51,197.06 = 51,197.06 : x
  2. Step 2: Convert to fraction form
    23,646.94/51,197.06 = 51,197.06/x
  3. Step 3: Cross multiply
    23,646.94x = 51,197.06 × 51,197.06
  4. Step 4: Simplify right side
    23,646.94x = 2,621,139,208.63
  5. Step 5: Solve for x
    x = 2,621,139,208.63/23,646.94
  6. Step 6: Final answer
    x = 110,844.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.