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Finding the Third Proportional to 15,671.25 and 22,641.75

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Solution

The third proportional to 15,671.25 and 22,641.75 is: 32,712.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,671.25 : 22,641.75 = 22,641.75 : x
  2. Step 2: Convert to fraction form
    15,671.25/22,641.75 = 22,641.75/x
  3. Step 3: Cross multiply
    15,671.25x = 22,641.75 × 22,641.75
  4. Step 4: Simplify right side
    15,671.25x = 512,648,843.06
  5. Step 5: Solve for x
    x = 512,648,843.06/15,671.25
  6. Step 6: Final answer
    x = 32,712.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.