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Finding the Third Proportional to 14,428.13 and 21,683.95

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Solution

The third proportional to 14,428.13 and 21,683.95 is: 32,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,428.13 : 21,683.95 = 21,683.95 : x
  2. Step 2: Convert to fraction form
    14,428.13/21,683.95 = 21,683.95/x
  3. Step 3: Cross multiply
    14,428.13x = 21,683.95 × 21,683.95
  4. Step 4: Simplify right side
    14,428.13x = 470,193,823.13
  5. Step 5: Solve for x
    x = 470,193,823.13/14,428.13
  6. Step 6: Final answer
    x = 32,588.70

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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.