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Finding the Third Proportional to 15,855.75 and 22,188.94

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Solution

The third proportional to 15,855.75 and 22,188.94 is: 31,051.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.75 : 22,188.94 = 22,188.94 : x
  2. Step 2: Convert to fraction form
    15,855.75/22,188.94 = 22,188.94/x
  3. Step 3: Cross multiply
    15,855.75x = 22,188.94 × 22,188.94
  4. Step 4: Simplify right side
    15,855.75x = 492,348,947.38
  5. Step 5: Solve for x
    x = 492,348,947.38/15,855.75
  6. Step 6: Final answer
    x = 31,051.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.