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Finding the Third Proportional to 25,080 and 39,051

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Solution

The third proportional to 25,080 and 39,051 is: 60,804.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,080 : 39,051 = 39,051 : x
  2. Step 2: Convert to fraction form
    25,080/39,051 = 39,051/x
  3. Step 3: Cross multiply
    25,080x = 39,051 × 39,051
  4. Step 4: Simplify right side
    25,080x = 1,524,980,601
  5. Step 5: Solve for x
    x = 1,524,980,601/25,080
  6. Step 6: Final answer
    x = 60,804.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.