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Finding the Third Proportional to 1,617.47 and 3,468.45

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Solution

The third proportional to 1,617.47 and 3,468.45 is: 7,437.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,617.47 : 3,468.45 = 3,468.45 : x
  2. Step 2: Convert to fraction form
    1,617.47/3,468.45 = 3,468.45/x
  3. Step 3: Cross multiply
    1,617.47x = 3,468.45 × 3,468.45
  4. Step 4: Simplify right side
    1,617.47x = 12,030,112.89
  5. Step 5: Solve for x
    x = 12,030,112.89/1,617.47
  6. Step 6: Final answer
    x = 7,437.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.