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Finding the Third Proportional to 25,504 and 34,364

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Solution

The third proportional to 25,504 and 34,364 is: 46,301.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,504 : 34,364 = 34,364 : x
  2. Step 2: Convert to fraction form
    25,504/34,364 = 34,364/x
  3. Step 3: Cross multiply
    25,504x = 34,364 × 34,364
  4. Step 4: Simplify right side
    25,504x = 1,180,884,496
  5. Step 5: Solve for x
    x = 1,180,884,496/25,504
  6. Step 6: Final answer
    x = 46,301.93

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.