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Finding the Third Proportional to 20,838.52 and 45,629.58

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Solution

The third proportional to 20,838.52 and 45,629.58 is: 99,913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.52 : 45,629.58 = 45,629.58 : x
  2. Step 2: Convert to fraction form
    20,838.52/45,629.58 = 45,629.58/x
  3. Step 3: Cross multiply
    20,838.52x = 45,629.58 × 45,629.58
  4. Step 4: Simplify right side
    20,838.52x = 2,082,058,399.87
  5. Step 5: Solve for x
    x = 2,082,058,399.87/20,838.52
  6. Step 6: Final answer
    x = 99,913.95

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