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Finding the Third Proportional to 28,900 and 43,154

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Solution

The third proportional to 28,900 and 43,154 is: 64,438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,900 : 43,154 = 43,154 : x
  2. Step 2: Convert to fraction form
    28,900/43,154 = 43,154/x
  3. Step 3: Cross multiply
    28,900x = 43,154 × 43,154
  4. Step 4: Simplify right side
    28,900x = 1,862,267,716
  5. Step 5: Solve for x
    x = 1,862,267,716/28,900
  6. Step 6: Final answer
    x = 64,438.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.