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Finding the Third Proportional to 30,656 and 67,052

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Solution

The third proportional to 30,656 and 67,052 is: 146,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,656 : 67,052 = 67,052 : x
  2. Step 2: Convert to fraction form
    30,656/67,052 = 67,052/x
  3. Step 3: Cross multiply
    30,656x = 67,052 × 67,052
  4. Step 4: Simplify right side
    30,656x = 4,495,970,704
  5. Step 5: Solve for x
    x = 4,495,970,704/30,656
  6. Step 6: Final answer
    x = 146,658.75

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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.