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Finding the Third Proportional to 30,582 and 67,178

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Solution

The third proportional to 30,582 and 67,178 is: 147,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582 : 67,178 = 67,178 : x
  2. Step 2: Convert to fraction form
    30,582/67,178 = 67,178/x
  3. Step 3: Cross multiply
    30,582x = 67,178 × 67,178
  4. Step 4: Simplify right side
    30,582x = 4,512,883,684
  5. Step 5: Solve for x
    x = 4,512,883,684/30,582
  6. Step 6: Final answer
    x = 147,566.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.