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Finding the Third Proportional to 9,813 and 13,545

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Solution

The third proportional to 9,813 and 13,545 is: 18,696.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813 : 13,545 = 13,545 : x
  2. Step 2: Convert to fraction form
    9,813/13,545 = 13,545/x
  3. Step 3: Cross multiply
    9,813x = 13,545 × 13,545
  4. Step 4: Simplify right side
    9,813x = 183,467,025
  5. Step 5: Solve for x
    x = 183,467,025/9,813
  6. Step 6: Final answer
    x = 18,696.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.