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Finding the Third Proportional to 30,783 and 66,747

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Solution

The third proportional to 30,783 and 66,747 is: 144,728.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,783 : 66,747 = 66,747 : x
  2. Step 2: Convert to fraction form
    30,783/66,747 = 66,747/x
  3. Step 3: Cross multiply
    30,783x = 66,747 × 66,747
  4. Step 4: Simplify right side
    30,783x = 4,455,162,009
  5. Step 5: Solve for x
    x = 4,455,162,009/30,783
  6. Step 6: Final answer
    x = 144,728.00

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.