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Finding the Third Proportional to 25,145 and 52,358

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Solution

The third proportional to 25,145 and 52,358 is: 109,022.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,145 : 52,358 = 52,358 : x
  2. Step 2: Convert to fraction form
    25,145/52,358 = 52,358/x
  3. Step 3: Cross multiply
    25,145x = 52,358 × 52,358
  4. Step 4: Simplify right side
    25,145x = 2,741,360,164
  5. Step 5: Solve for x
    x = 2,741,360,164/25,145
  6. Step 6: Final answer
    x = 109,022.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.