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Finding the Third Proportional to 25,016 and 37,332

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Solution

The third proportional to 25,016 and 37,332 is: 55,711.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,016 : 37,332 = 37,332 : x
  2. Step 2: Convert to fraction form
    25,016/37,332 = 37,332/x
  3. Step 3: Cross multiply
    25,016x = 37,332 × 37,332
  4. Step 4: Simplify right side
    25,016x = 1,393,678,224
  5. Step 5: Solve for x
    x = 1,393,678,224/25,016
  6. Step 6: Final answer
    x = 55,711.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.