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Finding the Third Proportional to 25,431.47 and 37,042.31

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Solution

The third proportional to 25,431.47 and 37,042.31 is: 53,954.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,431.47 : 37,042.31 = 37,042.31 : x
  2. Step 2: Convert to fraction form
    25,431.47/37,042.31 = 37,042.31/x
  3. Step 3: Cross multiply
    25,431.47x = 37,042.31 × 37,042.31
  4. Step 4: Simplify right side
    25,431.47x = 1,372,132,915.35
  5. Step 5: Solve for x
    x = 1,372,132,915.35/25,431.47
  6. Step 6: Final answer
    x = 53,954.14

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.