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Finding the Third Proportional to 5,957.30 and 12,952.09

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Solution

The third proportional to 5,957.30 and 12,952.09 is: 28,159.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.30 : 12,952.09 = 12,952.09 : x
  2. Step 2: Convert to fraction form
    5,957.30/12,952.09 = 12,952.09/x
  3. Step 3: Cross multiply
    5,957.30x = 12,952.09 × 12,952.09
  4. Step 4: Simplify right side
    5,957.30x = 167,756,631.32
  5. Step 5: Solve for x
    x = 167,756,631.32/5,957.30
  6. Step 6: Final answer
    x = 28,159.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.