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Finding the Third Proportional to 29,768.63 and 63,631.41

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Solution

The third proportional to 29,768.63 and 63,631.41 is: 136,014.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,768.63 : 63,631.41 = 63,631.41 : x
  2. Step 2: Convert to fraction form
    29,768.63/63,631.41 = 63,631.41/x
  3. Step 3: Cross multiply
    29,768.63x = 63,631.41 × 63,631.41
  4. Step 4: Simplify right side
    29,768.63x = 4,048,955,861.35
  5. Step 5: Solve for x
    x = 4,048,955,861.35/29,768.63
  6. Step 6: Final answer
    x = 136,014.20

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