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Finding the Third Proportional to 15,021.14 and 23,352.05

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Solution

The third proportional to 15,021.14 and 23,352.05 is: 36,303.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,021.14 : 23,352.05 = 23,352.05 : x
  2. Step 2: Convert to fraction form
    15,021.14/23,352.05 = 23,352.05/x
  3. Step 3: Cross multiply
    15,021.14x = 23,352.05 × 23,352.05
  4. Step 4: Simplify right side
    15,021.14x = 545,318,093.25
  5. Step 5: Solve for x
    x = 545,318,093.25/15,021.14
  6. Step 6: Final answer
    x = 36,303.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.