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Finding the Third Proportional to 10,366.42 and 15,636.48

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Solution

The third proportional to 10,366.42 and 15,636.48 is: 23,585.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.42 : 15,636.48 = 15,636.48 : x
  2. Step 2: Convert to fraction form
    10,366.42/15,636.48 = 15,636.48/x
  3. Step 3: Cross multiply
    10,366.42x = 15,636.48 × 15,636.48
  4. Step 4: Simplify right side
    10,366.42x = 244,499,521.45
  5. Step 5: Solve for x
    x = 244,499,521.45/10,366.42
  6. Step 6: Final answer
    x = 23,585.73

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