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Finding the Third Proportional to 15,612.75 and 22,568.63

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Solution

The third proportional to 15,612.75 and 22,568.63 is: 32,623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,612.75 : 22,568.63 = 22,568.63 : x
  2. Step 2: Convert to fraction form
    15,612.75/22,568.63 = 22,568.63/x
  3. Step 3: Cross multiply
    15,612.75x = 22,568.63 × 22,568.63
  4. Step 4: Simplify right side
    15,612.75x = 509,342,834.39
  5. Step 5: Solve for x
    x = 509,342,834.39/15,612.75
  6. Step 6: Final answer
    x = 32,623.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.