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Finding the Third Proportional to 30,562.17 and 64,443.09

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Solution

The third proportional to 30,562.17 and 64,443.09 is: 135,884.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,562.17 : 64,443.09 = 64,443.09 : x
  2. Step 2: Convert to fraction form
    30,562.17/64,443.09 = 64,443.09/x
  3. Step 3: Cross multiply
    30,562.17x = 64,443.09 × 64,443.09
  4. Step 4: Simplify right side
    30,562.17x = 4,152,912,332.07
  5. Step 5: Solve for x
    x = 4,152,912,332.07/30,562.17
  6. Step 6: Final answer
    x = 135,884.07

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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.