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Finding the Third Proportional to 23,048.93 and 48,068.44

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Solution

The third proportional to 23,048.93 and 48,068.44 is: 100,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.93 : 48,068.44 = 48,068.44 : x
  2. Step 2: Convert to fraction form
    23,048.93/48,068.44 = 48,068.44/x
  3. Step 3: Cross multiply
    23,048.93x = 48,068.44 × 48,068.44
  4. Step 4: Simplify right side
    23,048.93x = 2,310,574,683.69
  5. Step 5: Solve for x
    x = 2,310,574,683.69/23,048.93
  6. Step 6: Final answer
    x = 100,246.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.