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Finding the Third Proportional to 25,964.75 and 37,130

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Solution

The third proportional to 25,964.75 and 37,130 is: 53,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,964.75 : 37,130 = 37,130 : x
  2. Step 2: Convert to fraction form
    25,964.75/37,130 = 37,130/x
  3. Step 3: Cross multiply
    25,964.75x = 37,130 × 37,130
  4. Step 4: Simplify right side
    25,964.75x = 1,378,636,900
  5. Step 5: Solve for x
    x = 1,378,636,900/25,964.75
  6. Step 6: Final answer
    x = 53,096.48

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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.