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Finding the Third Proportional to 16,918 and 24,047

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Solution

The third proportional to 16,918 and 24,047 is: 34,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,918 : 24,047 = 24,047 : x
  2. Step 2: Convert to fraction form
    16,918/24,047 = 24,047/x
  3. Step 3: Cross multiply
    16,918x = 24,047 × 24,047
  4. Step 4: Simplify right side
    16,918x = 578,258,209
  5. Step 5: Solve for x
    x = 578,258,209/16,918
  6. Step 6: Final answer
    x = 34,180.06

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.