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Finding the Third Proportional to 12,522 and 25,506.75

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Solution

The third proportional to 12,522 and 25,506.75 is: 51,956.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522 : 25,506.75 = 25,506.75 : x
  2. Step 2: Convert to fraction form
    12,522/25,506.75 = 25,506.75/x
  3. Step 3: Cross multiply
    12,522x = 25,506.75 × 25,506.75
  4. Step 4: Simplify right side
    12,522x = 650,594,295.56
  5. Step 5: Solve for x
    x = 650,594,295.56/12,522
  6. Step 6: Final answer
    x = 51,956.10

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.