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Finding the Third Proportional to 28,992 and 63,522

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Solution

The third proportional to 28,992 and 63,522 is: 139,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,992 : 63,522 = 63,522 : x
  2. Step 2: Convert to fraction form
    28,992/63,522 = 63,522/x
  3. Step 3: Cross multiply
    28,992x = 63,522 × 63,522
  4. Step 4: Simplify right side
    28,992x = 4,035,044,484
  5. Step 5: Solve for x
    x = 4,035,044,484/28,992
  6. Step 6: Final answer
    x = 139,177.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.