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Finding the Third Proportional to 16,208.86 and 24,646.46

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Solution

The third proportional to 16,208.86 and 24,646.46 is: 37,476.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,208.86 : 24,646.46 = 24,646.46 : x
  2. Step 2: Convert to fraction form
    16,208.86/24,646.46 = 24,646.46/x
  3. Step 3: Cross multiply
    16,208.86x = 24,646.46 × 24,646.46
  4. Step 4: Simplify right side
    16,208.86x = 607,448,229.29
  5. Step 5: Solve for x
    x = 607,448,229.29/16,208.86
  6. Step 6: Final answer
    x = 37,476.31

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.