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Finding the Third Proportional to 13,230.21 and 28,280.07

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Solution

The third proportional to 13,230.21 and 28,280.07 is: 60,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230.21 : 28,280.07 = 28,280.07 : x
  2. Step 2: Convert to fraction form
    13,230.21/28,280.07 = 28,280.07/x
  3. Step 3: Cross multiply
    13,230.21x = 28,280.07 × 28,280.07
  4. Step 4: Simplify right side
    13,230.21x = 799,762,597.82
  5. Step 5: Solve for x
    x = 799,762,597.82/13,230.21
  6. Step 6: Final answer
    x = 60,449.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.