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Finding the Third Proportional to 19,390.64 and 39,597.61

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Solution

The third proportional to 19,390.64 and 39,597.61 is: 80,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,390.64 : 39,597.61 = 39,597.61 : x
  2. Step 2: Convert to fraction form
    19,390.64/39,597.61 = 39,597.61/x
  3. Step 3: Cross multiply
    19,390.64x = 39,597.61 × 39,597.61
  4. Step 4: Simplify right side
    19,390.64x = 1,567,970,668.22
  5. Step 5: Solve for x
    x = 1,567,970,668.22/19,390.64
  6. Step 6: Final answer
    x = 80,862.24

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.