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Finding the Third Proportional to 19,768 and 43,423

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Solution

The third proportional to 19,768 and 43,423 is: 95,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768 : 43,423 = 43,423 : x
  2. Step 2: Convert to fraction form
    19,768/43,423 = 43,423/x
  3. Step 3: Cross multiply
    19,768x = 43,423 × 43,423
  4. Step 4: Simplify right side
    19,768x = 1,885,556,929
  5. Step 5: Solve for x
    x = 1,885,556,929/19,768
  6. Step 6: Final answer
    x = 95,384.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.