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Finding the Third Proportional to 954.68 and 2,005.46

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Solution

The third proportional to 954.68 and 2,005.46 is: 4,212.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    954.68 : 2,005.46 = 2,005.46 : x
  2. Step 2: Convert to fraction form
    954.68/2,005.46 = 2,005.46/x
  3. Step 3: Cross multiply
    954.68x = 2,005.46 × 2,005.46
  4. Step 4: Simplify right side
    954.68x = 4,021,877.49
  5. Step 5: Solve for x
    x = 4,021,877.49/954.68
  6. Step 6: Final answer
    x = 4,212.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.