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Finding the Third Proportional to 6,490.13 and 13,205.53

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Solution

The third proportional to 6,490.13 and 13,205.53 is: 26,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.13 : 13,205.53 = 13,205.53 : x
  2. Step 2: Convert to fraction form
    6,490.13/13,205.53 = 13,205.53/x
  3. Step 3: Cross multiply
    6,490.13x = 13,205.53 × 13,205.53
  4. Step 4: Simplify right side
    6,490.13x = 174,386,055.59
  5. Step 5: Solve for x
    x = 174,386,055.59/6,490.13
  6. Step 6: Final answer
    x = 26,869.44

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.