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Finding the Third Proportional to 31,203 and 49,577

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Solution

The third proportional to 31,203 and 49,577 is: 78,770.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203 : 49,577 = 49,577 : x
  2. Step 2: Convert to fraction form
    31,203/49,577 = 49,577/x
  3. Step 3: Cross multiply
    31,203x = 49,577 × 49,577
  4. Step 4: Simplify right side
    31,203x = 2,457,878,929
  5. Step 5: Solve for x
    x = 2,457,878,929/31,203
  6. Step 6: Final answer
    x = 78,770.60

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.