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Finding the Third Proportional to 15,546 and 25,032

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Solution

The third proportional to 15,546 and 25,032 is: 40,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,546 : 25,032 = 25,032 : x
  2. Step 2: Convert to fraction form
    15,546/25,032 = 25,032/x
  3. Step 3: Cross multiply
    15,546x = 25,032 × 25,032
  4. Step 4: Simplify right side
    15,546x = 626,601,024
  5. Step 5: Solve for x
    x = 626,601,024/15,546
  6. Step 6: Final answer
    x = 40,306.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.