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Finding the Third Proportional to 15,784 and 22,436

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Solution

The third proportional to 15,784 and 22,436 is: 31,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,784 : 22,436 = 22,436 : x
  2. Step 2: Convert to fraction form
    15,784/22,436 = 22,436/x
  3. Step 3: Cross multiply
    15,784x = 22,436 × 22,436
  4. Step 4: Simplify right side
    15,784x = 503,374,096
  5. Step 5: Solve for x
    x = 503,374,096/15,784
  6. Step 6: Final answer
    x = 31,891.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.