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Finding the Third Proportional to 30,729 and 63,510

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Solution

The third proportional to 30,729 and 63,510 is: 131,261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729 : 63,510 = 63,510 : x
  2. Step 2: Convert to fraction form
    30,729/63,510 = 63,510/x
  3. Step 3: Cross multiply
    30,729x = 63,510 × 63,510
  4. Step 4: Simplify right side
    30,729x = 4,033,520,100
  5. Step 5: Solve for x
    x = 4,033,520,100/30,729
  6. Step 6: Final answer
    x = 131,261.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.