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Finding the Third Proportional to 4,923 and 10,615.50

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Solution

The third proportional to 4,923 and 10,615.50 is: 22,890.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923 : 10,615.50 = 10,615.50 : x
  2. Step 2: Convert to fraction form
    4,923/10,615.50 = 10,615.50/x
  3. Step 3: Cross multiply
    4,923x = 10,615.50 × 10,615.50
  4. Step 4: Simplify right side
    4,923x = 112,688,840.25
  5. Step 5: Solve for x
    x = 112,688,840.25/4,923
  6. Step 6: Final answer
    x = 22,890.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.