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Finding the Third Proportional to 31,788 and 60,684

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Solution

The third proportional to 31,788 and 60,684 is: 115,847.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,788 : 60,684 = 60,684 : x
  2. Step 2: Convert to fraction form
    31,788/60,684 = 60,684/x
  3. Step 3: Cross multiply
    31,788x = 60,684 × 60,684
  4. Step 4: Simplify right side
    31,788x = 3,682,547,856
  5. Step 5: Solve for x
    x = 3,682,547,856/31,788
  6. Step 6: Final answer
    x = 115,847.11

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.