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Finding the Third Proportional to 25,007 and 37,778.25

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Solution

The third proportional to 25,007 and 37,778.25 is: 57,071.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,007 : 37,778.25 = 37,778.25 : x
  2. Step 2: Convert to fraction form
    25,007/37,778.25 = 37,778.25/x
  3. Step 3: Cross multiply
    25,007x = 37,778.25 × 37,778.25
  4. Step 4: Simplify right side
    25,007x = 1,427,196,173.06
  5. Step 5: Solve for x
    x = 1,427,196,173.06/25,007
  6. Step 6: Final answer
    x = 57,071.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.