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Finding the Third Proportional to 25,274 and 55,033

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Solution

The third proportional to 25,274 and 55,033 is: 119,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,274 : 55,033 = 55,033 : x
  2. Step 2: Convert to fraction form
    25,274/55,033 = 55,033/x
  3. Step 3: Cross multiply
    25,274x = 55,033 × 55,033
  4. Step 4: Simplify right side
    25,274x = 3,028,631,089
  5. Step 5: Solve for x
    x = 3,028,631,089/25,274
  6. Step 6: Final answer
    x = 119,831.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.