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Finding the Third Proportional to 18,976.78 and 26,312.34

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Solution

The third proportional to 18,976.78 and 26,312.34 is: 36,483.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,976.78 : 26,312.34 = 26,312.34 : x
  2. Step 2: Convert to fraction form
    18,976.78/26,312.34 = 26,312.34/x
  3. Step 3: Cross multiply
    18,976.78x = 26,312.34 × 26,312.34
  4. Step 4: Simplify right side
    18,976.78x = 692,339,433.62
  5. Step 5: Solve for x
    x = 692,339,433.62/18,976.78
  6. Step 6: Final answer
    x = 36,483.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.