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Finding the Third Proportional to 23,976.50 and 52,030

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Solution

The third proportional to 23,976.50 and 52,030 is: 112,907.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,976.50 : 52,030 = 52,030 : x
  2. Step 2: Convert to fraction form
    23,976.50/52,030 = 52,030/x
  3. Step 3: Cross multiply
    23,976.50x = 52,030 × 52,030
  4. Step 4: Simplify right side
    23,976.50x = 2,707,120,900
  5. Step 5: Solve for x
    x = 2,707,120,900/23,976.50
  6. Step 6: Final answer
    x = 112,907.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.