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Finding the Third Proportional to 17,273 and 25,342

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Solution

The third proportional to 17,273 and 25,342 is: 37,180.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,273 : 25,342 = 25,342 : x
  2. Step 2: Convert to fraction form
    17,273/25,342 = 25,342/x
  3. Step 3: Cross multiply
    17,273x = 25,342 × 25,342
  4. Step 4: Simplify right side
    17,273x = 642,216,964
  5. Step 5: Solve for x
    x = 642,216,964/17,273
  6. Step 6: Final answer
    x = 37,180.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.