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Finding the Third Proportional to 14,792 and 22,343

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Solution

The third proportional to 14,792 and 22,343 is: 33,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,792 : 22,343 = 22,343 : x
  2. Step 2: Convert to fraction form
    14,792/22,343 = 22,343/x
  3. Step 3: Cross multiply
    14,792x = 22,343 × 22,343
  4. Step 4: Simplify right side
    14,792x = 499,209,649
  5. Step 5: Solve for x
    x = 499,209,649/14,792
  6. Step 6: Final answer
    x = 33,748.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.