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Finding the Third Proportional to 35,283 and 49,455

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Solution

The third proportional to 35,283 and 49,455 is: 69,319.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,283 : 49,455 = 49,455 : x
  2. Step 2: Convert to fraction form
    35,283/49,455 = 49,455/x
  3. Step 3: Cross multiply
    35,283x = 49,455 × 49,455
  4. Step 4: Simplify right side
    35,283x = 2,445,797,025
  5. Step 5: Solve for x
    x = 2,445,797,025/35,283
  6. Step 6: Final answer
    x = 69,319.42

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.