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Finding the Third Proportional to 37,077 and 57,459

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Solution

The third proportional to 37,077 and 57,459 is: 89,045.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,077 : 57,459 = 57,459 : x
  2. Step 2: Convert to fraction form
    37,077/57,459 = 57,459/x
  3. Step 3: Cross multiply
    37,077x = 57,459 × 57,459
  4. Step 4: Simplify right side
    37,077x = 3,301,536,681
  5. Step 5: Solve for x
    x = 3,301,536,681/37,077
  6. Step 6: Final answer
    x = 89,045.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.