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Finding the Third Proportional to 25,045 and 37,489

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Solution

The third proportional to 25,045 and 37,489 is: 56,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,045 : 37,489 = 37,489 : x
  2. Step 2: Convert to fraction form
    25,045/37,489 = 37,489/x
  3. Step 3: Cross multiply
    25,045x = 37,489 × 37,489
  4. Step 4: Simplify right side
    25,045x = 1,405,425,121
  5. Step 5: Solve for x
    x = 1,405,425,121/25,045
  6. Step 6: Final answer
    x = 56,116.00

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Why These Related Problems?

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