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Finding the Third Proportional to 30,826 and 66,508

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Solution

The third proportional to 30,826 and 66,508 is: 143,492.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,826 : 66,508 = 66,508 : x
  2. Step 2: Convert to fraction form
    30,826/66,508 = 66,508/x
  3. Step 3: Cross multiply
    30,826x = 66,508 × 66,508
  4. Step 4: Simplify right side
    30,826x = 4,423,314,064
  5. Step 5: Solve for x
    x = 4,423,314,064/30,826
  6. Step 6: Final answer
    x = 143,492.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.