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Finding the Third Proportional to 3,196.13 and 4,655.81

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Solution

The third proportional to 3,196.13 and 4,655.81 is: 6,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.13 : 4,655.81 = 4,655.81 : x
  2. Step 2: Convert to fraction form
    3,196.13/4,655.81 = 4,655.81/x
  3. Step 3: Cross multiply
    3,196.13x = 4,655.81 × 4,655.81
  4. Step 4: Simplify right side
    3,196.13x = 21,676,590.04
  5. Step 5: Solve for x
    x = 21,676,590.04/3,196.13
  6. Step 6: Final answer
    x = 6,782.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.