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Finding the Third Proportional to 31,455 and 49,095

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Solution

The third proportional to 31,455 and 49,095 is: 76,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,455 : 49,095 = 49,095 : x
  2. Step 2: Convert to fraction form
    31,455/49,095 = 49,095/x
  3. Step 3: Cross multiply
    31,455x = 49,095 × 49,095
  4. Step 4: Simplify right side
    31,455x = 2,410,319,025
  5. Step 5: Solve for x
    x = 2,410,319,025/31,455
  6. Step 6: Final answer
    x = 76,627.53

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Why These Related Problems?

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