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Finding the Third Proportional to 23,973.38 and 50,474.63

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Solution

The third proportional to 23,973.38 and 50,474.63 is: 106,271.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,973.38 : 50,474.63 = 50,474.63 : x
  2. Step 2: Convert to fraction form
    23,973.38/50,474.63 = 50,474.63/x
  3. Step 3: Cross multiply
    23,973.38x = 50,474.63 × 50,474.63
  4. Step 4: Simplify right side
    23,973.38x = 2,547,687,768.89
  5. Step 5: Solve for x
    x = 2,547,687,768.89/23,973.38
  6. Step 6: Final answer
    x = 106,271.55

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.