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Finding the Third Proportional to 35,818 and 53,934

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Solution

The third proportional to 35,818 and 53,934 is: 81,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,818 : 53,934 = 53,934 : x
  2. Step 2: Convert to fraction form
    35,818/53,934 = 53,934/x
  3. Step 3: Cross multiply
    35,818x = 53,934 × 53,934
  4. Step 4: Simplify right side
    35,818x = 2,908,876,356
  5. Step 5: Solve for x
    x = 2,908,876,356/35,818
  6. Step 6: Final answer
    x = 81,212.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.