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Finding the Third Proportional to 13,283 and 28,754

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Solution

The third proportional to 13,283 and 28,754 is: 62,244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,283 : 28,754 = 28,754 : x
  2. Step 2: Convert to fraction form
    13,283/28,754 = 28,754/x
  3. Step 3: Cross multiply
    13,283x = 28,754 × 28,754
  4. Step 4: Simplify right side
    13,283x = 826,792,516
  5. Step 5: Solve for x
    x = 826,792,516/13,283
  6. Step 6: Final answer
    x = 62,244.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.