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Finding the Third Proportional to 28,428 and 44,493

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Solution

The third proportional to 28,428 and 44,493 is: 69,636.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,428 : 44,493 = 44,493 : x
  2. Step 2: Convert to fraction form
    28,428/44,493 = 44,493/x
  3. Step 3: Cross multiply
    28,428x = 44,493 × 44,493
  4. Step 4: Simplify right side
    28,428x = 1,979,627,049
  5. Step 5: Solve for x
    x = 1,979,627,049/28,428
  6. Step 6: Final answer
    x = 69,636.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.