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Finding the Third Proportional to 30,704 and 45,050

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Solution

The third proportional to 30,704 and 45,050 is: 66,098.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704 : 45,050 = 45,050 : x
  2. Step 2: Convert to fraction form
    30,704/45,050 = 45,050/x
  3. Step 3: Cross multiply
    30,704x = 45,050 × 45,050
  4. Step 4: Simplify right side
    30,704x = 2,029,502,500
  5. Step 5: Solve for x
    x = 2,029,502,500/30,704
  6. Step 6: Final answer
    x = 66,098.96

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.