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Finding the Third Proportional to 30,582 and 66,774

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Solution

The third proportional to 30,582 and 66,774 is: 145,797.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,582 : 66,774 = 66,774 : x
  2. Step 2: Convert to fraction form
    30,582/66,774 = 66,774/x
  3. Step 3: Cross multiply
    30,582x = 66,774 × 66,774
  4. Step 4: Simplify right side
    30,582x = 4,458,767,076
  5. Step 5: Solve for x
    x = 4,458,767,076/30,582
  6. Step 6: Final answer
    x = 145,797.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.