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Finding the Third Proportional to 16,789 and 24,719.50

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Solution

The third proportional to 16,789 and 24,719.50 is: 36,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,789 : 24,719.50 = 24,719.50 : x
  2. Step 2: Convert to fraction form
    16,789/24,719.50 = 24,719.50/x
  3. Step 3: Cross multiply
    16,789x = 24,719.50 × 24,719.50
  4. Step 4: Simplify right side
    16,789x = 611,053,680.25
  5. Step 5: Solve for x
    x = 611,053,680.25/16,789
  6. Step 6: Final answer
    x = 36,396.07

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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.