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Finding the Third Proportional to 30,152.81 and 64,309.78

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Solution

The third proportional to 30,152.81 and 64,309.78 is: 137,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152.81 : 64,309.78 = 64,309.78 : x
  2. Step 2: Convert to fraction form
    30,152.81/64,309.78 = 64,309.78/x
  3. Step 3: Cross multiply
    30,152.81x = 64,309.78 × 64,309.78
  4. Step 4: Simplify right side
    30,152.81x = 4,135,747,964.42
  5. Step 5: Solve for x
    x = 4,135,747,964.42/30,152.81
  6. Step 6: Final answer
    x = 137,159.61

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.