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Finding the Third Proportional to 9,319 and 13,714.50

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Solution

The third proportional to 9,319 and 13,714.50 is: 20,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319 : 13,714.50 = 13,714.50 : x
  2. Step 2: Convert to fraction form
    9,319/13,714.50 = 13,714.50/x
  3. Step 3: Cross multiply
    9,319x = 13,714.50 × 13,714.50
  4. Step 4: Simplify right side
    9,319x = 188,087,510.25
  5. Step 5: Solve for x
    x = 188,087,510.25/9,319
  6. Step 6: Final answer
    x = 20,183.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.