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Finding the Third Proportional to 7,626 and 13,476

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Solution

The third proportional to 7,626 and 13,476 is: 23,813.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,626 : 13,476 = 13,476 : x
  2. Step 2: Convert to fraction form
    7,626/13,476 = 13,476/x
  3. Step 3: Cross multiply
    7,626x = 13,476 × 13,476
  4. Step 4: Simplify right side
    7,626x = 181,602,576
  5. Step 5: Solve for x
    x = 181,602,576/7,626
  6. Step 6: Final answer
    x = 23,813.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.