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Finding the Third Proportional to 29,356 and 54,818

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Solution

The third proportional to 29,356 and 54,818 is: 102,364.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,356 : 54,818 = 54,818 : x
  2. Step 2: Convert to fraction form
    29,356/54,818 = 54,818/x
  3. Step 3: Cross multiply
    29,356x = 54,818 × 54,818
  4. Step 4: Simplify right side
    29,356x = 3,005,013,124
  5. Step 5: Solve for x
    x = 3,005,013,124/29,356
  6. Step 6: Final answer
    x = 102,364.53

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.