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Finding the Third Proportional to 15,728 and 22,943

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Solution

The third proportional to 15,728 and 22,943 is: 33,467.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,728 : 22,943 = 22,943 : x
  2. Step 2: Convert to fraction form
    15,728/22,943 = 22,943/x
  3. Step 3: Cross multiply
    15,728x = 22,943 × 22,943
  4. Step 4: Simplify right side
    15,728x = 526,381,249
  5. Step 5: Solve for x
    x = 526,381,249/15,728
  6. Step 6: Final answer
    x = 33,467.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.