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Finding the Third Proportional to 17,712.84 and 24,763.64

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Solution

The third proportional to 17,712.84 and 24,763.64 is: 34,621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,712.84 : 24,763.64 = 24,763.64 : x
  2. Step 2: Convert to fraction form
    17,712.84/24,763.64 = 24,763.64/x
  3. Step 3: Cross multiply
    17,712.84x = 24,763.64 × 24,763.64
  4. Step 4: Simplify right side
    17,712.84x = 613,237,897.00
  5. Step 5: Solve for x
    x = 613,237,897.00/17,712.84
  6. Step 6: Final answer
    x = 34,621.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.