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Finding the Third Proportional to 25,058 and 37,508

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Solution

The third proportional to 25,058 and 37,508 is: 56,143.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,058 : 37,508 = 37,508 : x
  2. Step 2: Convert to fraction form
    25,058/37,508 = 37,508/x
  3. Step 3: Cross multiply
    25,058x = 37,508 × 37,508
  4. Step 4: Simplify right side
    25,058x = 1,406,850,064
  5. Step 5: Solve for x
    x = 1,406,850,064/25,058
  6. Step 6: Final answer
    x = 56,143.75

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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.