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Finding the Third Proportional to 25,218 and 39,046

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Solution

The third proportional to 25,218 and 39,046 is: 60,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,218 : 39,046 = 39,046 : x
  2. Step 2: Convert to fraction form
    25,218/39,046 = 39,046/x
  3. Step 3: Cross multiply
    25,218x = 39,046 × 39,046
  4. Step 4: Simplify right side
    25,218x = 1,524,590,116
  5. Step 5: Solve for x
    x = 1,524,590,116/25,218
  6. Step 6: Final answer
    x = 60,456.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.