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Finding the Third Proportional to 14,432.06 and 21,690.56

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Solution

The third proportional to 14,432.06 and 21,690.56 is: 32,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,432.06 : 21,690.56 = 21,690.56 : x
  2. Step 2: Convert to fraction form
    14,432.06/21,690.56 = 21,690.56/x
  3. Step 3: Cross multiply
    14,432.06x = 21,690.56 × 21,690.56
  4. Step 4: Simplify right side
    14,432.06x = 470,480,501.57
  5. Step 5: Solve for x
    x = 470,480,501.57/14,432.06
  6. Step 6: Final answer
    x = 32,599.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.