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Finding the Third Proportional to 7,812 and 17,352

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Solution

The third proportional to 7,812 and 17,352 is: 38,542.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812 : 17,352 = 17,352 : x
  2. Step 2: Convert to fraction form
    7,812/17,352 = 17,352/x
  3. Step 3: Cross multiply
    7,812x = 17,352 × 17,352
  4. Step 4: Simplify right side
    7,812x = 301,091,904
  5. Step 5: Solve for x
    x = 301,091,904/7,812
  6. Step 6: Final answer
    x = 38,542.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.