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Finding the Third Proportional to 16,483.50 and 31,306.50

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Solution

The third proportional to 16,483.50 and 31,306.50 is: 59,459.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,483.50 : 31,306.50 = 31,306.50 : x
  2. Step 2: Convert to fraction form
    16,483.50/31,306.50 = 31,306.50/x
  3. Step 3: Cross multiply
    16,483.50x = 31,306.50 × 31,306.50
  4. Step 4: Simplify right side
    16,483.50x = 980,096,942.25
  5. Step 5: Solve for x
    x = 980,096,942.25/16,483.50
  6. Step 6: Final answer
    x = 59,459.27

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These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.