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Finding the Third Proportional to 3,502.41 and 6,822.56

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Solution

The third proportional to 3,502.41 and 6,822.56 is: 13,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.41 : 6,822.56 = 6,822.56 : x
  2. Step 2: Convert to fraction form
    3,502.41/6,822.56 = 6,822.56/x
  3. Step 3: Cross multiply
    3,502.41x = 6,822.56 × 6,822.56
  4. Step 4: Simplify right side
    3,502.41x = 46,547,359.07
  5. Step 5: Solve for x
    x = 46,547,359.07/3,502.41
  6. Step 6: Final answer
    x = 13,290.11

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.