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Finding the Third Proportional to 28,310 and 57,849

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Solution

The third proportional to 28,310 and 57,849 is: 118,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,310 : 57,849 = 57,849 : x
  2. Step 2: Convert to fraction form
    28,310/57,849 = 57,849/x
  3. Step 3: Cross multiply
    28,310x = 57,849 × 57,849
  4. Step 4: Simplify right side
    28,310x = 3,346,506,801
  5. Step 5: Solve for x
    x = 3,346,506,801/28,310
  6. Step 6: Final answer
    x = 118,209.35

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.