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Finding the Third Proportional to 39,001 and 57,038

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Solution

The third proportional to 39,001 and 57,038 is: 83,416.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,001 : 57,038 = 57,038 : x
  2. Step 2: Convert to fraction form
    39,001/57,038 = 57,038/x
  3. Step 3: Cross multiply
    39,001x = 57,038 × 57,038
  4. Step 4: Simplify right side
    39,001x = 3,253,333,444
  5. Step 5: Solve for x
    x = 3,253,333,444/39,001
  6. Step 6: Final answer
    x = 83,416.67

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.