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Finding the Third Proportional to 9,554.63 and 12,974.81

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Solution

The third proportional to 9,554.63 and 12,974.81 is: 17,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.63 : 12,974.81 = 12,974.81 : x
  2. Step 2: Convert to fraction form
    9,554.63/12,974.81 = 12,974.81/x
  3. Step 3: Cross multiply
    9,554.63x = 12,974.81 × 12,974.81
  4. Step 4: Simplify right side
    9,554.63x = 168,345,759.41
  5. Step 5: Solve for x
    x = 168,345,759.41/9,554.63
  6. Step 6: Final answer
    x = 17,619.30

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.