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Finding the Third Proportional to 30,735 and 41,715

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Solution

The third proportional to 30,735 and 41,715 is: 56,617.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,735 : 41,715 = 41,715 : x
  2. Step 2: Convert to fraction form
    30,735/41,715 = 41,715/x
  3. Step 3: Cross multiply
    30,735x = 41,715 × 41,715
  4. Step 4: Simplify right side
    30,735x = 1,740,141,225
  5. Step 5: Solve for x
    x = 1,740,141,225/30,735
  6. Step 6: Final answer
    x = 56,617.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.