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Finding the Third Proportional to 30,731 and 64,552

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Solution

The third proportional to 30,731 and 64,552 is: 135,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,731 : 64,552 = 64,552 : x
  2. Step 2: Convert to fraction form
    30,731/64,552 = 64,552/x
  3. Step 3: Cross multiply
    30,731x = 64,552 × 64,552
  4. Step 4: Simplify right side
    30,731x = 4,166,960,704
  5. Step 5: Solve for x
    x = 4,166,960,704/30,731
  6. Step 6: Final answer
    x = 135,594.70

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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.