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Finding the Third Proportional to 1,056.75 and 2,458.88

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Solution

The third proportional to 1,056.75 and 2,458.88 is: 5,721.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.75 : 2,458.88 = 2,458.88 : x
  2. Step 2: Convert to fraction form
    1,056.75/2,458.88 = 2,458.88/x
  3. Step 3: Cross multiply
    1,056.75x = 2,458.88 × 2,458.88
  4. Step 4: Simplify right side
    1,056.75x = 6,046,066.27
  5. Step 5: Solve for x
    x = 6,046,066.27/1,056.75
  6. Step 6: Final answer
    x = 5,721.38

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.