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Finding the Third Proportional to 10,422.42 and 15,659.26

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Solution

The third proportional to 10,422.42 and 15,659.26 is: 23,527.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.42 : 15,659.26 = 15,659.26 : x
  2. Step 2: Convert to fraction form
    10,422.42/15,659.26 = 15,659.26/x
  3. Step 3: Cross multiply
    10,422.42x = 15,659.26 × 15,659.26
  4. Step 4: Simplify right side
    10,422.42x = 245,212,477.58
  5. Step 5: Solve for x
    x = 245,212,477.58/10,422.42
  6. Step 6: Final answer
    x = 23,527.40

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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.