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Finding the Third Proportional to 4,489.17 and 8,124.05

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Solution

The third proportional to 4,489.17 and 8,124.05 is: 14,702.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.17 : 8,124.05 = 8,124.05 : x
  2. Step 2: Convert to fraction form
    4,489.17/8,124.05 = 8,124.05/x
  3. Step 3: Cross multiply
    4,489.17x = 8,124.05 × 8,124.05
  4. Step 4: Simplify right side
    4,489.17x = 66,000,137.63
  5. Step 5: Solve for x
    x = 66,000,137.63/4,489.17
  6. Step 6: Final answer
    x = 14,702.07

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.