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Finding the Third Proportional to 16,460.25 and 24,833.63

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Solution

The third proportional to 16,460.25 and 24,833.63 is: 37,466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,460.25 : 24,833.63 = 24,833.63 : x
  2. Step 2: Convert to fraction form
    16,460.25/24,833.63 = 24,833.63/x
  3. Step 3: Cross multiply
    16,460.25x = 24,833.63 × 24,833.63
  4. Step 4: Simplify right side
    16,460.25x = 616,708,930.64
  5. Step 5: Solve for x
    x = 616,708,930.64/16,460.25
  6. Step 6: Final answer
    x = 37,466.56

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.