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Finding the Third Proportional to 17,530.17 and 23,493.16

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Solution

The third proportional to 17,530.17 and 23,493.16 is: 31,484.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.17 : 23,493.16 = 23,493.16 : x
  2. Step 2: Convert to fraction form
    17,530.17/23,493.16 = 23,493.16/x
  3. Step 3: Cross multiply
    17,530.17x = 23,493.16 × 23,493.16
  4. Step 4: Simplify right side
    17,530.17x = 551,928,757.67
  5. Step 5: Solve for x
    x = 551,928,757.67/17,530.17
  6. Step 6: Final answer
    x = 31,484.50

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.