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Finding the Third Proportional to 16,130 and 34,731.88

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Solution

The third proportional to 16,130 and 34,731.88 is: 74,786.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,130 : 34,731.88 = 34,731.88 : x
  2. Step 2: Convert to fraction form
    16,130/34,731.88 = 34,731.88/x
  3. Step 3: Cross multiply
    16,130x = 34,731.88 × 34,731.88
  4. Step 4: Simplify right side
    16,130x = 1,206,303,141.02
  5. Step 5: Solve for x
    x = 1,206,303,141.02/16,130
  6. Step 6: Final answer
    x = 74,786.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.