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Finding the Third Proportional to 7,184.25 and 15,232.13

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Solution

The third proportional to 7,184.25 and 15,232.13 is: 32,295.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,184.25 : 15,232.13 = 15,232.13 : x
  2. Step 2: Convert to fraction form
    7,184.25/15,232.13 = 15,232.13/x
  3. Step 3: Cross multiply
    7,184.25x = 15,232.13 × 15,232.13
  4. Step 4: Simplify right side
    7,184.25x = 232,017,632.02
  5. Step 5: Solve for x
    x = 232,017,632.02/7,184.25
  6. Step 6: Final answer
    x = 32,295.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.