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Finding the Third Proportional to 24,688.50 and 30,156

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Solution

The third proportional to 24,688.50 and 30,156 is: 36,834.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,688.50 : 30,156 = 30,156 : x
  2. Step 2: Convert to fraction form
    24,688.50/30,156 = 30,156/x
  3. Step 3: Cross multiply
    24,688.50x = 30,156 × 30,156
  4. Step 4: Simplify right side
    24,688.50x = 909,384,336
  5. Step 5: Solve for x
    x = 909,384,336/24,688.50
  6. Step 6: Final answer
    x = 36,834.33

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These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.