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Finding the Third Proportional to 6,089.24 and 13,280.52

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Solution

The third proportional to 6,089.24 and 13,280.52 is: 28,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.24 : 13,280.52 = 13,280.52 : x
  2. Step 2: Convert to fraction form
    6,089.24/13,280.52 = 13,280.52/x
  3. Step 3: Cross multiply
    6,089.24x = 13,280.52 × 13,280.52
  4. Step 4: Simplify right side
    6,089.24x = 176,372,199.02
  5. Step 5: Solve for x
    x = 176,372,199.02/6,089.24
  6. Step 6: Final answer
    x = 28,964.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.