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Finding the Third Proportional to 4,384.63 and 6,814.88

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Solution

The third proportional to 4,384.63 and 6,814.88 is: 10,592.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,384.63 : 6,814.88 = 6,814.88 : x
  2. Step 2: Convert to fraction form
    4,384.63/6,814.88 = 6,814.88/x
  3. Step 3: Cross multiply
    4,384.63x = 6,814.88 × 6,814.88
  4. Step 4: Simplify right side
    4,384.63x = 46,442,521.27
  5. Step 5: Solve for x
    x = 46,442,521.27/4,384.63
  6. Step 6: Final answer
    x = 10,592.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.