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Finding the Third Proportional to 16,456 and 34,873.50

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Solution

The third proportional to 16,456 and 34,873.50 is: 73,903.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456 : 34,873.50 = 34,873.50 : x
  2. Step 2: Convert to fraction form
    16,456/34,873.50 = 34,873.50/x
  3. Step 3: Cross multiply
    16,456x = 34,873.50 × 34,873.50
  4. Step 4: Simplify right side
    16,456x = 1,216,161,002.25
  5. Step 5: Solve for x
    x = 1,216,161,002.25/16,456
  6. Step 6: Final answer
    x = 73,903.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.