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Finding the Third Proportional to 30,670 and 45,735

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Solution

The third proportional to 30,670 and 45,735 is: 68,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670 : 45,735 = 45,735 : x
  2. Step 2: Convert to fraction form
    30,670/45,735 = 45,735/x
  3. Step 3: Cross multiply
    30,670x = 45,735 × 45,735
  4. Step 4: Simplify right side
    30,670x = 2,091,690,225
  5. Step 5: Solve for x
    x = 2,091,690,225/30,670
  6. Step 6: Final answer
    x = 68,199.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.