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Finding the Third Proportional to 29,943 and 49,905

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Solution

The third proportional to 29,943 and 49,905 is: 83,175

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,943 : 49,905 = 49,905 : x
  2. Step 2: Convert to fraction form
    29,943/49,905 = 49,905/x
  3. Step 3: Cross multiply
    29,943x = 49,905 × 49,905
  4. Step 4: Simplify right side
    29,943x = 2,490,509,025
  5. Step 5: Solve for x
    x = 2,490,509,025/29,943
  6. Step 6: Final answer
    x = 83,175

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.