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Finding the Third Proportional to 3,646.13 and 5,185.13

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Solution

The third proportional to 3,646.13 and 5,185.13 is: 7,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.13 : 5,185.13 = 5,185.13 : x
  2. Step 2: Convert to fraction form
    3,646.13/5,185.13 = 5,185.13/x
  3. Step 3: Cross multiply
    3,646.13x = 5,185.13 × 5,185.13
  4. Step 4: Simplify right side
    3,646.13x = 26,885,521.27
  5. Step 5: Solve for x
    x = 26,885,521.27/3,646.13
  6. Step 6: Final answer
    x = 7,373.72

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.