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Finding the Third Proportional to 1,454.13 and 2,076.88

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Solution

The third proportional to 1,454.13 and 2,076.88 is: 2,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.13 : 2,076.88 = 2,076.88 : x
  2. Step 2: Convert to fraction form
    1,454.13/2,076.88 = 2,076.88/x
  3. Step 3: Cross multiply
    1,454.13x = 2,076.88 × 2,076.88
  4. Step 4: Simplify right side
    1,454.13x = 4,313,409.77
  5. Step 5: Solve for x
    x = 4,313,409.77/1,454.13
  6. Step 6: Final answer
    x = 2,966.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.