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Finding the Third Proportional to 7,714.69 and 11,680.03

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Solution

The third proportional to 7,714.69 and 11,680.03 is: 17,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.69 : 11,680.03 = 11,680.03 : x
  2. Step 2: Convert to fraction form
    7,714.69/11,680.03 = 11,680.03/x
  3. Step 3: Cross multiply
    7,714.69x = 11,680.03 × 11,680.03
  4. Step 4: Simplify right side
    7,714.69x = 136,423,130.00
  5. Step 5: Solve for x
    x = 136,423,130.00/7,714.69
  6. Step 6: Final answer
    x = 17,683.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.