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Finding the Third Proportional to 34,319 and 53,483

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Solution

The third proportional to 34,319 and 53,483 is: 83,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,319 : 53,483 = 53,483 : x
  2. Step 2: Convert to fraction form
    34,319/53,483 = 53,483/x
  3. Step 3: Cross multiply
    34,319x = 53,483 × 53,483
  4. Step 4: Simplify right side
    34,319x = 2,860,431,289
  5. Step 5: Solve for x
    x = 2,860,431,289/34,319
  6. Step 6: Final answer
    x = 83,348.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.