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Finding the Third Proportional to 37,659 and 55,046

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Solution

The third proportional to 37,659 and 55,046 is: 80,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,659 : 55,046 = 55,046 : x
  2. Step 2: Convert to fraction form
    37,659/55,046 = 55,046/x
  3. Step 3: Cross multiply
    37,659x = 55,046 × 55,046
  4. Step 4: Simplify right side
    37,659x = 3,030,062,116
  5. Step 5: Solve for x
    x = 3,030,062,116/37,659
  6. Step 6: Final answer
    x = 80,460.50

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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.