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Finding the Third Proportional to 16,278.75 and 34,885.13

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Solution

The third proportional to 16,278.75 and 34,885.13 is: 74,758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278.75 : 34,885.13 = 34,885.13 : x
  2. Step 2: Convert to fraction form
    16,278.75/34,885.13 = 34,885.13/x
  3. Step 3: Cross multiply
    16,278.75x = 34,885.13 × 34,885.13
  4. Step 4: Simplify right side
    16,278.75x = 1,216,971,946.27
  5. Step 5: Solve for x
    x = 1,216,971,946.27/16,278.75
  6. Step 6: Final answer
    x = 74,758.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.