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Finding the Third Proportional to 11,540 and 15,798

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Solution

The third proportional to 11,540 and 15,798 is: 21,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540 : 15,798 = 15,798 : x
  2. Step 2: Convert to fraction form
    11,540/15,798 = 15,798/x
  3. Step 3: Cross multiply
    11,540x = 15,798 × 15,798
  4. Step 4: Simplify right side
    11,540x = 249,576,804
  5. Step 5: Solve for x
    x = 249,576,804/11,540
  6. Step 6: Final answer
    x = 21,627.11

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.