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Finding the Third Proportional to 14,716.50 and 32,076

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Solution

The third proportional to 14,716.50 and 32,076 is: 69,912.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.50 : 32,076 = 32,076 : x
  2. Step 2: Convert to fraction form
    14,716.50/32,076 = 32,076/x
  3. Step 3: Cross multiply
    14,716.50x = 32,076 × 32,076
  4. Step 4: Simplify right side
    14,716.50x = 1,028,869,776
  5. Step 5: Solve for x
    x = 1,028,869,776/14,716.50
  6. Step 6: Final answer
    x = 69,912.67

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.