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Finding the Third Proportional to 9,684 and 15,786

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Solution

The third proportional to 9,684 and 15,786 is: 25,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684 : 15,786 = 15,786 : x
  2. Step 2: Convert to fraction form
    9,684/15,786 = 15,786/x
  3. Step 3: Cross multiply
    9,684x = 15,786 × 15,786
  4. Step 4: Simplify right side
    9,684x = 249,197,796
  5. Step 5: Solve for x
    x = 249,197,796/9,684
  6. Step 6: Final answer
    x = 25,732.94

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.