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Finding the Third Proportional to 25,420 and 38,454

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Solution

The third proportional to 25,420 and 38,454 is: 58,171.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,420 : 38,454 = 38,454 : x
  2. Step 2: Convert to fraction form
    25,420/38,454 = 38,454/x
  3. Step 3: Cross multiply
    25,420x = 38,454 × 38,454
  4. Step 4: Simplify right side
    25,420x = 1,478,710,116
  5. Step 5: Solve for x
    x = 1,478,710,116/25,420
  6. Step 6: Final answer
    x = 58,171.13

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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.