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Finding the Third Proportional to 15,992 and 25,304

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Solution

The third proportional to 15,992 and 25,304 is: 40,038.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,992 : 25,304 = 25,304 : x
  2. Step 2: Convert to fraction form
    15,992/25,304 = 25,304/x
  3. Step 3: Cross multiply
    15,992x = 25,304 × 25,304
  4. Step 4: Simplify right side
    15,992x = 640,292,416
  5. Step 5: Solve for x
    x = 640,292,416/15,992
  6. Step 6: Final answer
    x = 40,038.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.