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Finding the Third Proportional to 16,005.38 and 24,730.31

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Solution

The third proportional to 16,005.38 and 24,730.31 is: 38,211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,005.38 : 24,730.31 = 24,730.31 : x
  2. Step 2: Convert to fraction form
    16,005.38/24,730.31 = 24,730.31/x
  3. Step 3: Cross multiply
    16,005.38x = 24,730.31 × 24,730.31
  4. Step 4: Simplify right side
    16,005.38x = 611,588,356.35
  5. Step 5: Solve for x
    x = 611,588,356.35/16,005.38
  6. Step 6: Final answer
    x = 38,211.44

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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.