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Finding the Third Proportional to 792.47 and 1,746.94

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Solution

The third proportional to 792.47 and 1,746.94 is: 3,850.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.47 : 1,746.94 = 1,746.94 : x
  2. Step 2: Convert to fraction form
    792.47/1,746.94 = 1,746.94/x
  3. Step 3: Cross multiply
    792.47x = 1,746.94 × 1,746.94
  4. Step 4: Simplify right side
    792.47x = 3,051,790.63
  5. Step 5: Solve for x
    x = 3,051,790.63/792.47
  6. Step 6: Final answer
    x = 3,850.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.