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Finding the Third Proportional to 30,344.63 and 33,746.63

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Solution

The third proportional to 30,344.63 and 33,746.63 is: 37,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,344.63 : 33,746.63 = 33,746.63 : x
  2. Step 2: Convert to fraction form
    30,344.63/33,746.63 = 33,746.63/x
  3. Step 3: Cross multiply
    30,344.63x = 33,746.63 × 33,746.63
  4. Step 4: Simplify right side
    30,344.63x = 1,138,834,698.89
  5. Step 5: Solve for x
    x = 1,138,834,698.89/30,344.63
  6. Step 6: Final answer
    x = 37,530.03

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.