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Finding the Third Proportional to 17,390 and 23,297

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Solution

The third proportional to 17,390 and 23,297 is: 31,210.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,390 : 23,297 = 23,297 : x
  2. Step 2: Convert to fraction form
    17,390/23,297 = 23,297/x
  3. Step 3: Cross multiply
    17,390x = 23,297 × 23,297
  4. Step 4: Simplify right side
    17,390x = 542,750,209
  5. Step 5: Solve for x
    x = 542,750,209/17,390
  6. Step 6: Final answer
    x = 31,210.48

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.