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Finding the Third Proportional to 31,803 and 49,455

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Solution

The third proportional to 31,803 and 49,455 is: 76,904.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,803 : 49,455 = 49,455 : x
  2. Step 2: Convert to fraction form
    31,803/49,455 = 49,455/x
  3. Step 3: Cross multiply
    31,803x = 49,455 × 49,455
  4. Step 4: Simplify right side
    31,803x = 2,445,797,025
  5. Step 5: Solve for x
    x = 2,445,797,025/31,803
  6. Step 6: Final answer
    x = 76,904.60

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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.