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Finding the Third Proportional to 18,948 and 29,724.75

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Solution

The third proportional to 18,948 and 29,724.75 is: 46,630.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,948 : 29,724.75 = 29,724.75 : x
  2. Step 2: Convert to fraction form
    18,948/29,724.75 = 29,724.75/x
  3. Step 3: Cross multiply
    18,948x = 29,724.75 × 29,724.75
  4. Step 4: Simplify right side
    18,948x = 883,560,762.56
  5. Step 5: Solve for x
    x = 883,560,762.56/18,948
  6. Step 6: Final answer
    x = 46,630.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.