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Finding the Third Proportional to 29,735 and 40,774

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Solution

The third proportional to 29,735 and 40,774 is: 55,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,735 : 40,774 = 40,774 : x
  2. Step 2: Convert to fraction form
    29,735/40,774 = 40,774/x
  3. Step 3: Cross multiply
    29,735x = 40,774 × 40,774
  4. Step 4: Simplify right side
    29,735x = 1,662,519,076
  5. Step 5: Solve for x
    x = 1,662,519,076/29,735
  6. Step 6: Final answer
    x = 55,911.18

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.