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Finding the Third Proportional to 35,260 and 54,684

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Solution

The third proportional to 35,260 and 54,684 is: 84,808.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,260 : 54,684 = 54,684 : x
  2. Step 2: Convert to fraction form
    35,260/54,684 = 54,684/x
  3. Step 3: Cross multiply
    35,260x = 54,684 × 54,684
  4. Step 4: Simplify right side
    35,260x = 2,990,339,856
  5. Step 5: Solve for x
    x = 2,990,339,856/35,260
  6. Step 6: Final answer
    x = 84,808.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.