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Finding the Third Proportional to 10,393.88 and 19,830.38

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Solution

The third proportional to 10,393.88 and 19,830.38 is: 37,834.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,393.88 : 19,830.38 = 19,830.38 : x
  2. Step 2: Convert to fraction form
    10,393.88/19,830.38 = 19,830.38/x
  3. Step 3: Cross multiply
    10,393.88x = 19,830.38 × 19,830.38
  4. Step 4: Simplify right side
    10,393.88x = 393,243,772.64
  5. Step 5: Solve for x
    x = 393,243,772.64/10,393.88
  6. Step 6: Final answer
    x = 37,834.18

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.