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Finding the Third Proportional to 21,764.64 and 47,629.90

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Solution

The third proportional to 21,764.64 and 47,629.90 is: 104,233.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,764.64 : 47,629.90 = 47,629.90 : x
  2. Step 2: Convert to fraction form
    21,764.64/47,629.90 = 47,629.90/x
  3. Step 3: Cross multiply
    21,764.64x = 47,629.90 × 47,629.90
  4. Step 4: Simplify right side
    21,764.64x = 2,268,607,225.17
  5. Step 5: Solve for x
    x = 2,268,607,225.17/21,764.64
  6. Step 6: Final answer
    x = 104,233.64

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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.