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Finding the Third Proportional to 19,664.25 and 25,862.25

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Solution

The third proportional to 19,664.25 and 25,862.25 is: 34,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,664.25 : 25,862.25 = 25,862.25 : x
  2. Step 2: Convert to fraction form
    19,664.25/25,862.25 = 25,862.25/x
  3. Step 3: Cross multiply
    19,664.25x = 25,862.25 × 25,862.25
  4. Step 4: Simplify right side
    19,664.25x = 668,855,975.06
  5. Step 5: Solve for x
    x = 668,855,975.06/19,664.25
  6. Step 6: Final answer
    x = 34,013.81

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.