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Finding the Third Proportional to 30,319 and 46,538

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Solution

The third proportional to 30,319 and 46,538 is: 71,433.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,319 : 46,538 = 46,538 : x
  2. Step 2: Convert to fraction form
    30,319/46,538 = 46,538/x
  3. Step 3: Cross multiply
    30,319x = 46,538 × 46,538
  4. Step 4: Simplify right side
    30,319x = 2,165,785,444
  5. Step 5: Solve for x
    x = 2,165,785,444/30,319
  6. Step 6: Final answer
    x = 71,433.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.