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Finding the Third Proportional to 25,358 and 55,009

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Solution

The third proportional to 25,358 and 55,009 is: 119,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,358 : 55,009 = 55,009 : x
  2. Step 2: Convert to fraction form
    25,358/55,009 = 55,009/x
  3. Step 3: Cross multiply
    25,358x = 55,009 × 55,009
  4. Step 4: Simplify right side
    25,358x = 3,025,990,081
  5. Step 5: Solve for x
    x = 3,025,990,081/25,358
  6. Step 6: Final answer
    x = 119,330.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.