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Finding the Third Proportional to 25,889.47 and 37,979.19

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Solution

The third proportional to 25,889.47 and 37,979.19 is: 55,714.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889.47 : 37,979.19 = 37,979.19 : x
  2. Step 2: Convert to fraction form
    25,889.47/37,979.19 = 37,979.19/x
  3. Step 3: Cross multiply
    25,889.47x = 37,979.19 × 37,979.19
  4. Step 4: Simplify right side
    25,889.47x = 1,442,418,979.87
  5. Step 5: Solve for x
    x = 1,442,418,979.87/25,889.47
  6. Step 6: Final answer
    x = 55,714.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.