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Finding the Third Proportional to 8,430 and 15,684

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Solution

The third proportional to 8,430 and 15,684 is: 29,180.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430 : 15,684 = 15,684 : x
  2. Step 2: Convert to fraction form
    8,430/15,684 = 15,684/x
  3. Step 3: Cross multiply
    8,430x = 15,684 × 15,684
  4. Step 4: Simplify right side
    8,430x = 245,987,856
  5. Step 5: Solve for x
    x = 245,987,856/8,430
  6. Step 6: Final answer
    x = 29,180.05

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.