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Finding the Third Proportional to 16,494 and 35,948.50

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Solution

The third proportional to 16,494 and 35,948.50 is: 78,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494 : 35,948.50 = 35,948.50 : x
  2. Step 2: Convert to fraction form
    16,494/35,948.50 = 35,948.50/x
  3. Step 3: Cross multiply
    16,494x = 35,948.50 × 35,948.50
  4. Step 4: Simplify right side
    16,494x = 1,292,294,652.25
  5. Step 5: Solve for x
    x = 1,292,294,652.25/16,494
  6. Step 6: Final answer
    x = 78,349.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.