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Finding the Third Proportional to 17,394 and 26,335

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Solution

The third proportional to 17,394 and 26,335 is: 39,871.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,394 : 26,335 = 26,335 : x
  2. Step 2: Convert to fraction form
    17,394/26,335 = 26,335/x
  3. Step 3: Cross multiply
    17,394x = 26,335 × 26,335
  4. Step 4: Simplify right side
    17,394x = 693,532,225
  5. Step 5: Solve for x
    x = 693,532,225/17,394
  6. Step 6: Final answer
    x = 39,871.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.