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Finding the Third Proportional to 16,339 and 24,029.50

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Solution

The third proportional to 16,339 and 24,029.50 is: 35,339.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339 : 24,029.50 = 24,029.50 : x
  2. Step 2: Convert to fraction form
    16,339/24,029.50 = 24,029.50/x
  3. Step 3: Cross multiply
    16,339x = 24,029.50 × 24,029.50
  4. Step 4: Simplify right side
    16,339x = 577,416,870.25
  5. Step 5: Solve for x
    x = 577,416,870.25/16,339
  6. Step 6: Final answer
    x = 35,339.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.