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Finding the Third Proportional to 13,412.25 and 28,671.75

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Solution

The third proportional to 13,412.25 and 28,671.75 is: 61,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.25 : 28,671.75 = 28,671.75 : x
  2. Step 2: Convert to fraction form
    13,412.25/28,671.75 = 28,671.75/x
  3. Step 3: Cross multiply
    13,412.25x = 28,671.75 × 28,671.75
  4. Step 4: Simplify right side
    13,412.25x = 822,069,248.06
  5. Step 5: Solve for x
    x = 822,069,248.06/13,412.25
  6. Step 6: Final answer
    x = 61,292.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.