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Finding the Third Proportional to 2,457.25 and 5,056.25

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Solution

The third proportional to 2,457.25 and 5,056.25 is: 10,404.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.25 : 5,056.25 = 5,056.25 : x
  2. Step 2: Convert to fraction form
    2,457.25/5,056.25 = 5,056.25/x
  3. Step 3: Cross multiply
    2,457.25x = 5,056.25 × 5,056.25
  4. Step 4: Simplify right side
    2,457.25x = 25,565,664.06
  5. Step 5: Solve for x
    x = 25,565,664.06/2,457.25
  6. Step 6: Final answer
    x = 10,404.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.