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Finding the Third Proportional to 29,830 and 40,368

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Solution

The third proportional to 29,830 and 40,368 is: 54,628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,830 : 40,368 = 40,368 : x
  2. Step 2: Convert to fraction form
    29,830/40,368 = 40,368/x
  3. Step 3: Cross multiply
    29,830x = 40,368 × 40,368
  4. Step 4: Simplify right side
    29,830x = 1,629,575,424
  5. Step 5: Solve for x
    x = 1,629,575,424/29,830
  6. Step 6: Final answer
    x = 54,628.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.