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Finding the Third Proportional to 10,173.94 and 15,405.19

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Solution

The third proportional to 10,173.94 and 15,405.19 is: 23,326.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,173.94 : 15,405.19 = 15,405.19 : x
  2. Step 2: Convert to fraction form
    10,173.94/15,405.19 = 15,405.19/x
  3. Step 3: Cross multiply
    10,173.94x = 15,405.19 × 15,405.19
  4. Step 4: Simplify right side
    10,173.94x = 237,319,801.91
  5. Step 5: Solve for x
    x = 237,319,801.91/10,173.94
  6. Step 6: Final answer
    x = 23,326.25

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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.