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Finding the Third Proportional to 1,157.41 and 2,565.03

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Solution

The third proportional to 1,157.41 and 2,565.03 is: 5,684.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.41 : 2,565.03 = 2,565.03 : x
  2. Step 2: Convert to fraction form
    1,157.41/2,565.03 = 2,565.03/x
  3. Step 3: Cross multiply
    1,157.41x = 2,565.03 × 2,565.03
  4. Step 4: Simplify right side
    1,157.41x = 6,579,360.26
  5. Step 5: Solve for x
    x = 6,579,360.26/1,157.41
  6. Step 6: Final answer
    x = 5,684.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.