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Finding the Third Proportional to 30,654 and 67,050

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Solution

The third proportional to 30,654 and 67,050 is: 146,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,654 : 67,050 = 67,050 : x
  2. Step 2: Convert to fraction form
    30,654/67,050 = 67,050/x
  3. Step 3: Cross multiply
    30,654x = 67,050 × 67,050
  4. Step 4: Simplify right side
    30,654x = 4,495,702,500
  5. Step 5: Solve for x
    x = 4,495,702,500/30,654
  6. Step 6: Final answer
    x = 146,659.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.