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Finding the Third Proportional to 28,704 and 45,257

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Solution

The third proportional to 28,704 and 45,257 is: 71,355.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,704 : 45,257 = 45,257 : x
  2. Step 2: Convert to fraction form
    28,704/45,257 = 45,257/x
  3. Step 3: Cross multiply
    28,704x = 45,257 × 45,257
  4. Step 4: Simplify right side
    28,704x = 2,048,196,049
  5. Step 5: Solve for x
    x = 2,048,196,049/28,704
  6. Step 6: Final answer
    x = 71,355.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.