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Finding the Third Proportional to 30,322 and 63,786

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Solution

The third proportional to 30,322 and 63,786 is: 134,181.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,322 : 63,786 = 63,786 : x
  2. Step 2: Convert to fraction form
    30,322/63,786 = 63,786/x
  3. Step 3: Cross multiply
    30,322x = 63,786 × 63,786
  4. Step 4: Simplify right side
    30,322x = 4,068,653,796
  5. Step 5: Solve for x
    x = 4,068,653,796/30,322
  6. Step 6: Final answer
    x = 134,181.58

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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.