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Finding the Third Proportional to 16,007.63 and 24,734.25

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Solution

The third proportional to 16,007.63 and 24,734.25 is: 38,218.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,007.63 : 24,734.25 = 24,734.25 : x
  2. Step 2: Convert to fraction form
    16,007.63/24,734.25 = 24,734.25/x
  3. Step 3: Cross multiply
    16,007.63x = 24,734.25 × 24,734.25
  4. Step 4: Simplify right side
    16,007.63x = 611,783,123.06
  5. Step 5: Solve for x
    x = 611,783,123.06/16,007.63
  6. Step 6: Final answer
    x = 38,218.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.