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Finding the Third Proportional to 25,435.69 and 37,392.47

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Solution

The third proportional to 25,435.69 and 37,392.47 is: 54,969.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.69 : 37,392.47 = 37,392.47 : x
  2. Step 2: Convert to fraction form
    25,435.69/37,392.47 = 37,392.47/x
  3. Step 3: Cross multiply
    25,435.69x = 37,392.47 × 37,392.47
  4. Step 4: Simplify right side
    25,435.69x = 1,398,196,719.22
  5. Step 5: Solve for x
    x = 1,398,196,719.22/25,435.69
  6. Step 6: Final answer
    x = 54,969.88

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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.