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Finding the Third Proportional to 21,196 and 28,754

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Solution

The third proportional to 21,196 and 28,754 is: 39,007.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,196 : 28,754 = 28,754 : x
  2. Step 2: Convert to fraction form
    21,196/28,754 = 28,754/x
  3. Step 3: Cross multiply
    21,196x = 28,754 × 28,754
  4. Step 4: Simplify right side
    21,196x = 826,792,516
  5. Step 5: Solve for x
    x = 826,792,516/21,196
  6. Step 6: Final answer
    x = 39,007.01

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.