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Finding the Third Proportional to 25,169 and 51,430

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Solution

The third proportional to 25,169 and 51,430 is: 105,091.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,169 : 51,430 = 51,430 : x
  2. Step 2: Convert to fraction form
    25,169/51,430 = 51,430/x
  3. Step 3: Cross multiply
    25,169x = 51,430 × 51,430
  4. Step 4: Simplify right side
    25,169x = 2,645,044,900
  5. Step 5: Solve for x
    x = 2,645,044,900/25,169
  6. Step 6: Final answer
    x = 105,091.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.