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Finding the Third Proportional to 10,505.95 and 15,884.23

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Solution

The third proportional to 10,505.95 and 15,884.23 is: 24,015.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,505.95 : 15,884.23 = 15,884.23 : x
  2. Step 2: Convert to fraction form
    10,505.95/15,884.23 = 15,884.23/x
  3. Step 3: Cross multiply
    10,505.95x = 15,884.23 × 15,884.23
  4. Step 4: Simplify right side
    10,505.95x = 252,308,653.49
  5. Step 5: Solve for x
    x = 252,308,653.49/10,505.95
  6. Step 6: Final answer
    x = 24,015.78

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Why These Related Problems?

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