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Finding the Third Proportional to 14,096.25 and 22,321.13

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Solution

The third proportional to 14,096.25 and 22,321.13 is: 35,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.25 : 22,321.13 = 22,321.13 : x
  2. Step 2: Convert to fraction form
    14,096.25/22,321.13 = 22,321.13/x
  3. Step 3: Cross multiply
    14,096.25x = 22,321.13 × 22,321.13
  4. Step 4: Simplify right side
    14,096.25x = 498,232,621.27
  5. Step 5: Solve for x
    x = 498,232,621.27/14,096.25
  6. Step 6: Final answer
    x = 35,345.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.