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Finding the Third Proportional to 17,205.54 and 24,356.00

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Solution

The third proportional to 17,205.54 and 24,356.00 is: 34,478.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.54 : 24,356.00 = 24,356.00 : x
  2. Step 2: Convert to fraction form
    17,205.54/24,356.00 = 24,356.00/x
  3. Step 3: Cross multiply
    17,205.54x = 24,356.00 × 24,356.00
  4. Step 4: Simplify right side
    17,205.54x = 593,214,926.28
  5. Step 5: Solve for x
    x = 593,214,926.28/17,205.54
  6. Step 6: Final answer
    x = 34,478.14

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.