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Finding the Third Proportional to 25,020 and 53,919

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Solution

The third proportional to 25,020 and 53,919 is: 116,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,020 : 53,919 = 53,919 : x
  2. Step 2: Convert to fraction form
    25,020/53,919 = 53,919/x
  3. Step 3: Cross multiply
    25,020x = 53,919 × 53,919
  4. Step 4: Simplify right side
    25,020x = 2,907,258,561
  5. Step 5: Solve for x
    x = 2,907,258,561/25,020
  6. Step 6: Final answer
    x = 116,197.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.