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Finding the Third Proportional to 16,498.69 and 39,907.69

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Solution

The third proportional to 16,498.69 and 39,907.69 is: 96,530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.69 : 39,907.69 = 39,907.69 : x
  2. Step 2: Convert to fraction form
    16,498.69/39,907.69 = 39,907.69/x
  3. Step 3: Cross multiply
    16,498.69x = 39,907.69 × 39,907.69
  4. Step 4: Simplify right side
    16,498.69x = 1,592,623,521.60
  5. Step 5: Solve for x
    x = 1,592,623,521.60/16,498.69
  6. Step 6: Final answer
    x = 96,530.32

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.