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Finding the Third Proportional to 12,746 and 28,004

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Solution

The third proportional to 12,746 and 28,004 is: 61,527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,746 : 28,004 = 28,004 : x
  2. Step 2: Convert to fraction form
    12,746/28,004 = 28,004/x
  3. Step 3: Cross multiply
    12,746x = 28,004 × 28,004
  4. Step 4: Simplify right side
    12,746x = 784,224,016
  5. Step 5: Solve for x
    x = 784,224,016/12,746
  6. Step 6: Final answer
    x = 61,527.07

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.