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Finding the Third Proportional to 1,830.09 and 4,318.95

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Solution

The third proportional to 1,830.09 and 4,318.95 is: 10,192.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.09 : 4,318.95 = 4,318.95 : x
  2. Step 2: Convert to fraction form
    1,830.09/4,318.95 = 4,318.95/x
  3. Step 3: Cross multiply
    1,830.09x = 4,318.95 × 4,318.95
  4. Step 4: Simplify right side
    1,830.09x = 18,653,288.61
  5. Step 5: Solve for x
    x = 18,653,288.61/1,830.09
  6. Step 6: Final answer
    x = 10,192.53

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.