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Finding the Third Proportional to 25,094.44 and 36,698.63

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Solution

The third proportional to 25,094.44 and 36,698.63 is: 53,668.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,094.44 : 36,698.63 = 36,698.63 : x
  2. Step 2: Convert to fraction form
    25,094.44/36,698.63 = 36,698.63/x
  3. Step 3: Cross multiply
    25,094.44x = 36,698.63 × 36,698.63
  4. Step 4: Simplify right side
    25,094.44x = 1,346,789,076.89
  5. Step 5: Solve for x
    x = 1,346,789,076.89/25,094.44
  6. Step 6: Final answer
    x = 53,668.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.