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Finding the Third Proportional to 40,624 and 62,088

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Solution

The third proportional to 40,624 and 62,088 is: 94,892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,624 : 62,088 = 62,088 : x
  2. Step 2: Convert to fraction form
    40,624/62,088 = 62,088/x
  3. Step 3: Cross multiply
    40,624x = 62,088 × 62,088
  4. Step 4: Simplify right side
    40,624x = 3,854,919,744
  5. Step 5: Solve for x
    x = 3,854,919,744/40,624
  6. Step 6: Final answer
    x = 94,892.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.