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Finding the Third Proportional to 9,684 and 13,297.50

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Solution

The third proportional to 9,684 and 13,297.50 is: 18,259.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684 : 13,297.50 = 13,297.50 : x
  2. Step 2: Convert to fraction form
    9,684/13,297.50 = 13,297.50/x
  3. Step 3: Cross multiply
    9,684x = 13,297.50 × 13,297.50
  4. Step 4: Simplify right side
    9,684x = 176,823,506.25
  5. Step 5: Solve for x
    x = 176,823,506.25/9,684
  6. Step 6: Final answer
    x = 18,259.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.