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Finding the Third Proportional to 19,152.25 and 29,133.75

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Solution

The third proportional to 19,152.25 and 29,133.75 is: 44,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,152.25 : 29,133.75 = 29,133.75 : x
  2. Step 2: Convert to fraction form
    19,152.25/29,133.75 = 29,133.75/x
  3. Step 3: Cross multiply
    19,152.25x = 29,133.75 × 29,133.75
  4. Step 4: Simplify right side
    19,152.25x = 848,775,389.06
  5. Step 5: Solve for x
    x = 848,775,389.06/19,152.25
  6. Step 6: Final answer
    x = 44,317.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.