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Finding the Third Proportional to 12,949 and 28,436

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Solution

The third proportional to 12,949 and 28,436 is: 62,445.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,949 : 28,436 = 28,436 : x
  2. Step 2: Convert to fraction form
    12,949/28,436 = 28,436/x
  3. Step 3: Cross multiply
    12,949x = 28,436 × 28,436
  4. Step 4: Simplify right side
    12,949x = 808,606,096
  5. Step 5: Solve for x
    x = 808,606,096/12,949
  6. Step 6: Final answer
    x = 62,445.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.