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Finding the Third Proportional to 19,530 and 28,930.50

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Solution

The third proportional to 19,530 and 28,930.50 is: 42,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,530 : 28,930.50 = 28,930.50 : x
  2. Step 2: Convert to fraction form
    19,530/28,930.50 = 28,930.50/x
  3. Step 3: Cross multiply
    19,530x = 28,930.50 × 28,930.50
  4. Step 4: Simplify right side
    19,530x = 836,973,830.25
  5. Step 5: Solve for x
    x = 836,973,830.25/19,530
  6. Step 6: Final answer
    x = 42,855.80

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.