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Finding the Third Proportional to 6,000.37 and 13,154.04

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Solution

The third proportional to 6,000.37 and 13,154.04 is: 28,836.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.37 : 13,154.04 = 13,154.04 : x
  2. Step 2: Convert to fraction form
    6,000.37/13,154.04 = 13,154.04/x
  3. Step 3: Cross multiply
    6,000.37x = 13,154.04 × 13,154.04
  4. Step 4: Simplify right side
    6,000.37x = 173,028,666.58
  5. Step 5: Solve for x
    x = 173,028,666.58/6,000.37
  6. Step 6: Final answer
    x = 28,836.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.