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Finding the Third Proportional to 6,476.25 and 13,413

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Solution

The third proportional to 6,476.25 and 13,413 is: 27,779.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,476.25 : 13,413 = 13,413 : x
  2. Step 2: Convert to fraction form
    6,476.25/13,413 = 13,413/x
  3. Step 3: Cross multiply
    6,476.25x = 13,413 × 13,413
  4. Step 4: Simplify right side
    6,476.25x = 179,908,569
  5. Step 5: Solve for x
    x = 179,908,569/6,476.25
  6. Step 6: Final answer
    x = 27,779.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.