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Finding the Third Proportional to 35,712 and 75,400

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Solution

The third proportional to 35,712 and 75,400 is: 159,194.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,712 : 75,400 = 75,400 : x
  2. Step 2: Convert to fraction form
    35,712/75,400 = 75,400/x
  3. Step 3: Cross multiply
    35,712x = 75,400 × 75,400
  4. Step 4: Simplify right side
    35,712x = 5,685,160,000
  5. Step 5: Solve for x
    x = 5,685,160,000/35,712
  6. Step 6: Final answer
    x = 159,194.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.