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Finding the Third Proportional to 37,421 and 55,985

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Solution

The third proportional to 37,421 and 55,985 is: 83,758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,421 : 55,985 = 55,985 : x
  2. Step 2: Convert to fraction form
    37,421/55,985 = 55,985/x
  3. Step 3: Cross multiply
    37,421x = 55,985 × 55,985
  4. Step 4: Simplify right side
    37,421x = 3,134,320,225
  5. Step 5: Solve for x
    x = 3,134,320,225/37,421
  6. Step 6: Final answer
    x = 83,758.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.