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Finding the Third Proportional to 1,617.47 and 2,534.41

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Solution

The third proportional to 1,617.47 and 2,534.41 is: 3,971.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.47 : 2,534.41 = 2,534.41 : x
  2. Step 2: Convert to fraction form
    1,617.47/2,534.41 = 2,534.41/x
  3. Step 3: Cross multiply
    1,617.47x = 2,534.41 × 2,534.41
  4. Step 4: Simplify right side
    1,617.47x = 6,423,254.64
  5. Step 5: Solve for x
    x = 6,423,254.64/1,617.47
  6. Step 6: Final answer
    x = 3,971.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.