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Finding the Third Proportional to 16,730 and 22,942

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Solution

The third proportional to 16,730 and 22,942 is: 31,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,730 : 22,942 = 22,942 : x
  2. Step 2: Convert to fraction form
    16,730/22,942 = 22,942/x
  3. Step 3: Cross multiply
    16,730x = 22,942 × 22,942
  4. Step 4: Simplify right side
    16,730x = 526,335,364
  5. Step 5: Solve for x
    x = 526,335,364/16,730
  6. Step 6: Final answer
    x = 31,460.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.