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Finding the Third Proportional to 29,216 and 41,340

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Solution

The third proportional to 29,216 and 41,340 is: 58,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,216 : 41,340 = 41,340 : x
  2. Step 2: Convert to fraction form
    29,216/41,340 = 41,340/x
  3. Step 3: Cross multiply
    29,216x = 41,340 × 41,340
  4. Step 4: Simplify right side
    29,216x = 1,708,995,600
  5. Step 5: Solve for x
    x = 1,708,995,600/29,216
  6. Step 6: Final answer
    x = 58,495.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.