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Finding the Third Proportional to 37,690.50 and 55,412

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Solution

The third proportional to 37,690.50 and 55,412 is: 81,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,690.50 : 55,412 = 55,412 : x
  2. Step 2: Convert to fraction form
    37,690.50/55,412 = 55,412/x
  3. Step 3: Cross multiply
    37,690.50x = 55,412 × 55,412
  4. Step 4: Simplify right side
    37,690.50x = 3,070,489,744
  5. Step 5: Solve for x
    x = 3,070,489,744/37,690.50
  6. Step 6: Final answer
    x = 81,465.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.