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Finding the Third Proportional to 16,376 and 24,719.75

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Solution

The third proportional to 16,376 and 24,719.75 is: 37,314.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,376 : 24,719.75 = 24,719.75 : x
  2. Step 2: Convert to fraction form
    16,376/24,719.75 = 24,719.75/x
  3. Step 3: Cross multiply
    16,376x = 24,719.75 × 24,719.75
  4. Step 4: Simplify right side
    16,376x = 611,066,040.06
  5. Step 5: Solve for x
    x = 611,066,040.06/16,376
  6. Step 6: Final answer
    x = 37,314.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.