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Finding the Third Proportional to 34,969.22 and 75,525.54

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Solution

The third proportional to 34,969.22 and 75,525.54 is: 163,117.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,969.22 : 75,525.54 = 75,525.54 : x
  2. Step 2: Convert to fraction form
    34,969.22/75,525.54 = 75,525.54/x
  3. Step 3: Cross multiply
    34,969.22x = 75,525.54 × 75,525.54
  4. Step 4: Simplify right side
    34,969.22x = 5,704,107,050.68
  5. Step 5: Solve for x
    x = 5,704,107,050.68/34,969.22
  6. Step 6: Final answer
    x = 163,117.94

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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.