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Finding the Third Proportional to 37,004 and 55,508

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Solution

The third proportional to 37,004 and 55,508 is: 83,265.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,004 : 55,508 = 55,508 : x
  2. Step 2: Convert to fraction form
    37,004/55,508 = 55,508/x
  3. Step 3: Cross multiply
    37,004x = 55,508 × 55,508
  4. Step 4: Simplify right side
    37,004x = 3,081,138,064
  5. Step 5: Solve for x
    x = 3,081,138,064/37,004
  6. Step 6: Final answer
    x = 83,265.00

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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.