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Finding the Third Proportional to 3,017.80 and 4,536.32

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Solution

The third proportional to 3,017.80 and 4,536.32 is: 6,818.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,017.80 : 4,536.32 = 4,536.32 : x
  2. Step 2: Convert to fraction form
    3,017.80/4,536.32 = 4,536.32/x
  3. Step 3: Cross multiply
    3,017.80x = 4,536.32 × 4,536.32
  4. Step 4: Simplify right side
    3,017.80x = 20,578,166.54
  5. Step 5: Solve for x
    x = 20,578,166.54/3,017.80
  6. Step 6: Final answer
    x = 6,818.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.