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Finding the Third Proportional to 1,728 and 2,528

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Solution

The third proportional to 1,728 and 2,528 is: 3,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728 : 2,528 = 2,528 : x
  2. Step 2: Convert to fraction form
    1,728/2,528 = 2,528/x
  3. Step 3: Cross multiply
    1,728x = 2,528 × 2,528
  4. Step 4: Simplify right side
    1,728x = 6,390,784
  5. Step 5: Solve for x
    x = 6,390,784/1,728
  6. Step 6: Final answer
    x = 3,698.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.