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Finding the Third Proportional to 32,692 and 70,570

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Solution

The third proportional to 32,692 and 70,570 is: 152,334.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692 : 70,570 = 70,570 : x
  2. Step 2: Convert to fraction form
    32,692/70,570 = 70,570/x
  3. Step 3: Cross multiply
    32,692x = 70,570 × 70,570
  4. Step 4: Simplify right side
    32,692x = 4,980,124,900
  5. Step 5: Solve for x
    x = 4,980,124,900/32,692
  6. Step 6: Final answer
    x = 152,334.67

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.