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Finding the Third Proportional to 25,077 and 53,403

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Solution

The third proportional to 25,077 and 53,403 is: 113,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,077 : 53,403 = 53,403 : x
  2. Step 2: Convert to fraction form
    25,077/53,403 = 53,403/x
  3. Step 3: Cross multiply
    25,077x = 53,403 × 53,403
  4. Step 4: Simplify right side
    25,077x = 2,851,880,409
  5. Step 5: Solve for x
    x = 2,851,880,409/25,077
  6. Step 6: Final answer
    x = 113,724.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.