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Finding the Third Proportional to 13,084 and 28,326

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Solution

The third proportional to 13,084 and 28,326 is: 61,323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,084 : 28,326 = 28,326 : x
  2. Step 2: Convert to fraction form
    13,084/28,326 = 28,326/x
  3. Step 3: Cross multiply
    13,084x = 28,326 × 28,326
  4. Step 4: Simplify right side
    13,084x = 802,362,276
  5. Step 5: Solve for x
    x = 802,362,276/13,084
  6. Step 6: Final answer
    x = 61,323.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.