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Finding the Third Proportional to 22,731 and 48,619.50

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Solution

The third proportional to 22,731 and 48,619.50 is: 103,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,731 : 48,619.50 = 48,619.50 : x
  2. Step 2: Convert to fraction form
    22,731/48,619.50 = 48,619.50/x
  3. Step 3: Cross multiply
    22,731x = 48,619.50 × 48,619.50
  4. Step 4: Simplify right side
    22,731x = 2,363,855,780.25
  5. Step 5: Solve for x
    x = 2,363,855,780.25/22,731
  6. Step 6: Final answer
    x = 103,992.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.