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Finding the Third Proportional to 4,061.63 and 8,635.88

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Solution

The third proportional to 4,061.63 and 8,635.88 is: 18,361.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.63 : 8,635.88 = 8,635.88 : x
  2. Step 2: Convert to fraction form
    4,061.63/8,635.88 = 8,635.88/x
  3. Step 3: Cross multiply
    4,061.63x = 8,635.88 × 8,635.88
  4. Step 4: Simplify right side
    4,061.63x = 74,578,337.02
  5. Step 5: Solve for x
    x = 74,578,337.02/4,061.63
  6. Step 6: Final answer
    x = 18,361.70

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.