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Finding the Third Proportional to 31,130 and 66,634

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Solution

The third proportional to 31,130 and 66,634 is: 142,630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,130 : 66,634 = 66,634 : x
  2. Step 2: Convert to fraction form
    31,130/66,634 = 66,634/x
  3. Step 3: Cross multiply
    31,130x = 66,634 × 66,634
  4. Step 4: Simplify right side
    31,130x = 4,440,089,956
  5. Step 5: Solve for x
    x = 4,440,089,956/31,130
  6. Step 6: Final answer
    x = 142,630.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.