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Finding the Third Proportional to 30,359.81 and 64,170.98

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Solution

The third proportional to 30,359.81 and 64,170.98 is: 135,637.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,359.81 : 64,170.98 = 64,170.98 : x
  2. Step 2: Convert to fraction form
    30,359.81/64,170.98 = 64,170.98/x
  3. Step 3: Cross multiply
    30,359.81x = 64,170.98 × 64,170.98
  4. Step 4: Simplify right side
    30,359.81x = 4,117,915,235.66
  5. Step 5: Solve for x
    x = 4,117,915,235.66/30,359.81
  6. Step 6: Final answer
    x = 135,637.04

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.