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Finding the Third Proportional to 12,967 and 28,455.50

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Solution

The third proportional to 12,967 and 28,455.50 is: 62,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967 : 28,455.50 = 28,455.50 : x
  2. Step 2: Convert to fraction form
    12,967/28,455.50 = 28,455.50/x
  3. Step 3: Cross multiply
    12,967x = 28,455.50 × 28,455.50
  4. Step 4: Simplify right side
    12,967x = 809,715,480.25
  5. Step 5: Solve for x
    x = 809,715,480.25/12,967
  6. Step 6: Final answer
    x = 62,444.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.