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Finding the Third Proportional to 37,984 and 55,488

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Solution

The third proportional to 37,984 and 55,488 is: 81,058.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,984 : 55,488 = 55,488 : x
  2. Step 2: Convert to fraction form
    37,984/55,488 = 55,488/x
  3. Step 3: Cross multiply
    37,984x = 55,488 × 55,488
  4. Step 4: Simplify right side
    37,984x = 3,078,918,144
  5. Step 5: Solve for x
    x = 3,078,918,144/37,984
  6. Step 6: Final answer
    x = 81,058.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.