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Finding the Third Proportional to 30,397 and 63,852

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Solution

The third proportional to 30,397 and 63,852 is: 134,127.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397 : 63,852 = 63,852 : x
  2. Step 2: Convert to fraction form
    30,397/63,852 = 63,852/x
  3. Step 3: Cross multiply
    30,397x = 63,852 × 63,852
  4. Step 4: Simplify right side
    30,397x = 4,077,077,904
  5. Step 5: Solve for x
    x = 4,077,077,904/30,397
  6. Step 6: Final answer
    x = 134,127.64

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.