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Finding the Third Proportional to 13,582 and 28,397

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Solution

The third proportional to 13,582 and 28,397 is: 59,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,582 : 28,397 = 28,397 : x
  2. Step 2: Convert to fraction form
    13,582/28,397 = 28,397/x
  3. Step 3: Cross multiply
    13,582x = 28,397 × 28,397
  4. Step 4: Simplify right side
    13,582x = 806,389,609
  5. Step 5: Solve for x
    x = 806,389,609/13,582
  6. Step 6: Final answer
    x = 59,371.93

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.