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Finding the Third Proportional to 16,040 and 37,460

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Solution

The third proportional to 16,040 and 37,460 is: 87,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,040 : 37,460 = 37,460 : x
  2. Step 2: Convert to fraction form
    16,040/37,460 = 37,460/x
  3. Step 3: Cross multiply
    16,040x = 37,460 × 37,460
  4. Step 4: Simplify right side
    16,040x = 1,403,251,600
  5. Step 5: Solve for x
    x = 1,403,251,600/16,040
  6. Step 6: Final answer
    x = 87,484.51

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.