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Finding the Third Proportional to 4,257 and 4,569

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Solution

The third proportional to 4,257 and 4,569 is: 4,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257 : 4,569 = 4,569 : x
  2. Step 2: Convert to fraction form
    4,257/4,569 = 4,569/x
  3. Step 3: Cross multiply
    4,257x = 4,569 × 4,569
  4. Step 4: Simplify right side
    4,257x = 20,875,761
  5. Step 5: Solve for x
    x = 20,875,761/4,257
  6. Step 6: Final answer
    x = 4,903.87

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.