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Finding the Third Proportional to 15,497.54 and 23,186.24

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Solution

The third proportional to 15,497.54 and 23,186.24 is: 34,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,497.54 : 23,186.24 = 23,186.24 : x
  2. Step 2: Convert to fraction form
    15,497.54/23,186.24 = 23,186.24/x
  3. Step 3: Cross multiply
    15,497.54x = 23,186.24 × 23,186.24
  4. Step 4: Simplify right side
    15,497.54x = 537,601,730.55
  5. Step 5: Solve for x
    x = 537,601,730.55/15,497.54
  6. Step 6: Final answer
    x = 34,689.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.