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Finding the Third Proportional to 2,457.42 and 3,445.03

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Solution

The third proportional to 2,457.42 and 3,445.03 is: 4,829.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.42 : 3,445.03 = 3,445.03 : x
  2. Step 2: Convert to fraction form
    2,457.42/3,445.03 = 3,445.03/x
  3. Step 3: Cross multiply
    2,457.42x = 3,445.03 × 3,445.03
  4. Step 4: Simplify right side
    2,457.42x = 11,868,240.31
  5. Step 5: Solve for x
    x = 11,868,240.31/2,457.42
  6. Step 6: Final answer
    x = 4,829.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.