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Finding the Third Proportional to 39,610 and 58,478

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Solution

The third proportional to 39,610 and 58,478 is: 86,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,610 : 58,478 = 58,478 : x
  2. Step 2: Convert to fraction form
    39,610/58,478 = 58,478/x
  3. Step 3: Cross multiply
    39,610x = 58,478 × 58,478
  4. Step 4: Simplify right side
    39,610x = 3,419,676,484
  5. Step 5: Solve for x
    x = 3,419,676,484/39,610
  6. Step 6: Final answer
    x = 86,333.67

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.