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Finding the Third Proportional to 25,995 and 37,148

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Solution

The third proportional to 25,995 and 37,148 is: 53,086.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,995 : 37,148 = 37,148 : x
  2. Step 2: Convert to fraction form
    25,995/37,148 = 37,148/x
  3. Step 3: Cross multiply
    25,995x = 37,148 × 37,148
  4. Step 4: Simplify right side
    25,995x = 1,379,973,904
  5. Step 5: Solve for x
    x = 1,379,973,904/25,995
  6. Step 6: Final answer
    x = 53,086.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.