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Finding the Third Proportional to 30,393 and 65,826

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Solution

The third proportional to 30,393 and 65,826 is: 142,567.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,393 : 65,826 = 65,826 : x
  2. Step 2: Convert to fraction form
    30,393/65,826 = 65,826/x
  3. Step 3: Cross multiply
    30,393x = 65,826 × 65,826
  4. Step 4: Simplify right side
    30,393x = 4,333,062,276
  5. Step 5: Solve for x
    x = 4,333,062,276/30,393
  6. Step 6: Final answer
    x = 142,567.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.